How many types of polynomials? -Maths 9th

How many types of polynomials? -Maths 9th
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Determine which of the following polynomials has (x + 1) a factor: (i) x3+x2+x+1 -Maths 9th

Description : Determine which of the following polynomials has (x + 1) a factor: (i) x3+x2+x+1 -Maths 9th

Last Answer : Solution: Let p(x) = x3+x2+x+1 The zero of x+1 is -1. [x+1 = 0 means x = -1] p(−1) = (−1)3+(−1)2+(−1)+1 = −1+1−1+1 = 0 ∴By factor theorem, x+1 is a factor of x3+x2+x+1

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) 4x2–3x+7 -Maths 9th

Description : Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) 4x2–3x+7 -Maths 9th

Last Answer : Solution: The equation 4x2–3x+7 can be written as 4x2–3x1+7x0 Since x is the only variable in the given equation and the powers of x (i.e., 2, 1 and 0) are whole numbers, we can say that the expression 4x2–3x+7 is a polynomial in one variable

Which of the following expressions are polynomials? Justify your answer, -Maths 9th

Description : Which of the following expressions are polynomials? Justify your answer, -Maths 9th

Last Answer : Following expressions are polynomials .

Classify the following polynomials as polynomials in one variable, two variables etc. -Maths 9th

Description : Classify the following polynomials as polynomials in one variable, two variables etc. -Maths 9th

Last Answer : (i) Polynomial x2+ x+ 1 is a one variable polynomial, because it contains only one variable i.e., x. (ii) Polynomial y3 - 5y is a one variable polynomial, because it contains only one variable i.e ... x2 - Zxy + y2 +1 is a two variables polynomial, because it contains two variables x and y.

Determine the degree of each of the following polynomials. -Maths 9th

Description : Determine the degree of each of the following polynomials. -Maths 9th

Last Answer : (i) Degree of polynomial 2x-1 is one, Decause the maximum exponent of x is one. (ii) Degree of polynomial -10 or -10x° is zero, because the exponent of x is zero. (iii) Degree of polynomial x3 - ... iv) Degree of polynomial y3(1-y4) or y3 - y7 is seven, because the maximum exponent of y is seven.

Classify the following as a constant, linear, quadratic and cubic polynomials . -Maths 9th

Description : Classify the following as a constant, linear, quadratic and cubic polynomials . -Maths 9th

Last Answer : (i) Polynomial 2 - x2 + x3 is a cubic polynomial, because maximum exponent of x is 3. (ii) Polynomial 3x3 is a cublic polynomial, because maximum exponent of x is 3. (iii) Polynomial 5t -√7 is a ... exponent of t is 2. (x) Polynomial √2x-1 is a linear polynomial, because maximum exponent of x is 1.

Find p(0), p( 1) and p(-2) for the following polynomials -Maths 9th

Description : Find p(0), p( 1) and p(-2) for the following polynomials -Maths 9th

Last Answer : (i) Given, polynomial is p(x) = 10x - 4x2 - 3 On putting x = 0,1 and - 2, respectively in Eq. (i), we get p(0) = 10(0)-4(0)2 -3 = 0-0-3= -3 p(1) = 10 (1) - 4 (1 )2 -3 = 10-4-3= 10-7= 3 and p(-2 ... = (-2 + 2)(-2 -2) =0 (-4) = 0 Hence, the values of p(0),p(1) and p(-2) are respectively,-4,-3 and 0.

If the polynomials az3 +4z2 + 3z-4 and z3-4z + 0 leave the same remainder when divided by z – 3, -Maths 9th

Description : If the polynomials az3 +4z2 + 3z-4 and z3-4z + 0 leave the same remainder when divided by z – 3, -Maths 9th

Last Answer : Let p1(z) = az3 +4z2 + 3z-4 and p2(z) = z3-4z + o When we divide p1(z) by z - 3, then we get the remainder p,(3). Now, p1(3) = a(3)3 + 4(3)2 + 3(3) - 4 = 27a+ 36+ 9-4= 27a+ 41 When we ... to' the question, both the remainders are same. p1(3)= p2(3) 27a+41 = 15+a 27a-a = 15 - 41 . 26a = 26 a = -1

Which of the following expressions are polynomials? Justify your answer, -Maths 9th

Description : Which of the following expressions are polynomials? Justify your answer, -Maths 9th

Last Answer : Following expressions are polynomials .

Classify the following polynomials as polynomials in one variable, two variables etc. -Maths 9th

Description : Classify the following polynomials as polynomials in one variable, two variables etc. -Maths 9th

Last Answer : (i) Polynomial x2+ x+ 1 is a one variable polynomial, because it contains only one variable i.e., x. (ii) Polynomial y3 - 5y is a one variable polynomial, because it contains only one variable i.e ... x2 - Zxy + y2 +1 is a two variables polynomial, because it contains two variables x and y.

Determine the degree of each of the following polynomials. -Maths 9th

Description : Determine the degree of each of the following polynomials. -Maths 9th

Last Answer : (i) Degree of polynomial 2x-1 is one, Decause the maximum exponent of x is one. (ii) Degree of polynomial -10 or -10x° is zero, because the exponent of x is zero. (iii) Degree of polynomial x3 - ... iv) Degree of polynomial y3(1-y4) or y3 - y7 is seven, because the maximum exponent of y is seven.

Classify the following as a constant, linear, quadratic and cubic polynomials . -Maths 9th

Description : Classify the following as a constant, linear, quadratic and cubic polynomials . -Maths 9th

Last Answer : (i) Polynomial 2 - x2 + x3 is a cubic polynomial, because maximum exponent of x is 3. (ii) Polynomial 3x3 is a cublic polynomial, because maximum exponent of x is 3. (iii) Polynomial 5t -√7 is a ... exponent of t is 2. (x) Polynomial √2x-1 is a linear polynomial, because maximum exponent of x is 1.

Find p(0), p( 1) and p(-2) for the following polynomials -Maths 9th

Description : Find p(0), p( 1) and p(-2) for the following polynomials -Maths 9th

Last Answer : (i) Given, polynomial is p(x) = 10x - 4x2 - 3 On putting x = 0,1 and - 2, respectively in Eq. (i), we get p(0) = 10(0)-4(0)2 -3 = 0-0-3= -3 p(1) = 10 (1) - 4 (1 )2 -3 = 10-4-3= 10-7= 3 and p(-2 ... = (-2 + 2)(-2 -2) =0 (-4) = 0 Hence, the values of p(0),p(1) and p(-2) are respectively,-4,-3 and 0.

If the polynomials az3 +4z2 + 3z-4 and z3-4z + 0 leave the same remainder when divided by z – 3, -Maths 9th

Description : If the polynomials az3 +4z2 + 3z-4 and z3-4z + 0 leave the same remainder when divided by z – 3, -Maths 9th

Last Answer : Let p1(z) = az3 +4z2 + 3z-4 and p2(z) = z3-4z + o When we divide p1(z) by z - 3, then we get the remainder p,(3). Now, p1(3) = a(3)3 + 4(3)2 + 3(3) - 4 = 27a+ 36+ 9-4= 27a+ 41 When we ... to' the question, both the remainders are same. p1(3)= p2(3) 27a+41 = 15+a 27a-a = 15 - 41 . 26a = 26 a = -1

DETERMINE THE DEGREE OF EACH OF THE FOLLOWING POLYNOMIALS. -Maths 9th

Description : DETERMINE THE DEGREE OF EACH OF THE FOLLOWING POLYNOMIALS. -Maths 9th

Last Answer : NEED ANSWER

DETERMINE THE DEGREE OF EACH OF THE FOLLOWING POLYNOMIALS. -Maths 9th

Description : DETERMINE THE DEGREE OF EACH OF THE FOLLOWING POLYNOMIALS. -Maths 9th

Last Answer : This answer was deleted by our moderators...

If the polynomials az3 + 42z2 + 3z – 4 and z3 - 4z + a leave the same remainder when divided by z – 3, find the value of a. -Maths 9th

Description : If the polynomials az3 + 42z2 + 3z – 4 and z3 - 4z + a leave the same remainder when divided by z – 3, find the value of a. -Maths 9th

Last Answer : Solution :-

Regarding polynomials -Maths 9th

Description : Regarding polynomials -Maths 9th

Last Answer : 2x+3y=12 Xy=6 (a+b)^3= a^3+b^3+3ab(a+b) (2x+3y)^3= 8x^3+27y^3+3•2•3(2x+3y) (12)^3=8x^3+27y^3+18(12) 1728-216=8x^3+27y^3=1512

Polynomials Class 9th Formula -Maths 9th

Description : Polynomials Class 9th Formula -Maths 9th

Last Answer : An algebraic expression is the combination of constants and variable connected by the four basic operations (+, -, , ). For example : 2x , x2y , xy/3, 3 etc. Types of Algebraic expression : Polynomial in one variable : An ... b2) (x) a3 + b3 + c3 - 3abc = (a+b+c)(a2+b2+c2-ab - bc - ca)

NCERT Solutions for class 9 Maths Chapter 2 Polynomials Exercise 2.1 -Maths 9th

Description : NCERT Solutions for class 9 Maths Chapter 2 Polynomials Exercise 2.1 -Maths 9th

Last Answer : 1. Write the following in decimal form and say what kind of decimal expansion each has: 4. Express 0.99999 in the form p/q . Are you surprised by your answer? With your teacher ... ) 0.767076700767000767 (iii) 0.78080078008000780 9. Classify the following numbers as rational or irrational:

NCERT Solutions for class 9 Maths Chapter 2 Polynomials Exercise 2.2 -Maths 9th

Description : NCERT Solutions for class 9 Maths Chapter 2 Polynomials Exercise 2.2 -Maths 9th

Last Answer : 1. Visualise 3.765 on the number line, using successive magnification. 3.765 lies between 3 and 4. Let us divide the interval (3, 4) into 10 equal parts. Since, 3.765 lies between 3.7 and 3. ... 10 equal parts. Now, the point corresponding to 3.765 is clearly located, as shown in Fig. (iii) above.

NCERT Solutions for class 9 Maths Chapter 2 Polynomials Exercise 2.4 -Maths 9th

Description : NCERT Solutions for class 9 Maths Chapter 2 Polynomials Exercise 2.4 -Maths 9th

Last Answer : Classify the following numbers as rational or irrational: 2: Simplify each of the following expressions: 3. Recall, π is defined as the ratio of the circumference (say c) of a circle to ... is no contradiction in saying that π is irrational . 4. Rationalise the denominators of the following:

NCERT Solutions for class 9 Maths Chapter 2 Polynomials Exercise 2.5 -Maths 9th

Description : NCERT Solutions for class 9 Maths Chapter 2 Polynomials Exercise 2.5 -Maths 9th

Last Answer : 1. Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. 2: Write the co-efficients of x2 in each of the following: (i) 2 + x2 + x The ... It is a quadratic polynomial. (vii) 7x3 ∵ The degree of 7x3 is 3. ∴ It is a cubic polynomial.

MCQ Questions for Class 9 Maths Chapter 2 Polynomials with answers -Maths 9th

Description : MCQ Questions for Class 9 Maths Chapter 2 Polynomials with answers -Maths 9th

Last Answer : Below you will find MCQ Questions of Chapter 2 Polynomials Class 9 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These ... . These Polynomials MCQ Questions will help you in practising more and more questions in less time.

If the polynomials ax^3 + 4x^2 + 3x – 4 and x^3 – 4x + a leave the same remainder when divided by (x – 3), the value of a is : -Maths 9th

Description : If the polynomials ax^3 + 4x^2 + 3x – 4 and x^3 – 4x + a leave the same remainder when divided by (x – 3), the value of a is : -Maths 9th

Last Answer : Given ax^3 + 4x^2 + 3x - 4 and x^3 - 4x + a leave the same remainder when divided by x - 3. Let p(x) = ax^3 + 4x^2 + 3x - 4 and g(x) = x^3 - 4x + a By remainder theorem, if f(x) is divided by (x − a) then ... 4 27a+41 g(3)=27-4(3)+a 15+a f(3)=G(3) 27a+41=15+a 26a=15-41 a=15-41/26 a=-26/26 a=-1

Let R1 and R2 be the remainders when the polynomials x^3 + 2x^2 – 5ax – 7 and x^2 + ax^2 – 12x + 6 are divided by (x + 1) and (x – 2) respectively. -Maths 9th

Description : Let R1 and R2 be the remainders when the polynomials x^3 + 2x^2 – 5ax – 7 and x^2 + ax^2 – 12x + 6 are divided by (x + 1) and (x – 2) respectively. -Maths 9th

Last Answer : answer:

If p(x) is a common multiple of degree 6 of the polynomials f(x) = x^3 + x^2 – x – 1 and g(x) = x^3 – x^2 + x – 1, then which -Maths 9th

Description : If p(x) is a common multiple of degree 6 of the polynomials f(x) = x^3 + x^2 – x – 1 and g(x) = x^3 – x^2 + x – 1, then which -Maths 9th

Last Answer : answer:

Ncert Exemplar Polynomials ch-2 Class 9th Maths Problems Polynomials -Maths 9th

Description : Ncert Exemplar Polynomials ch-2 Class 9th Maths Problems Polynomials -Maths 9th

Last Answer : 1. Which one of the following is a polynomial? 2. √2 is a polynomial of degree (A) 2 (B) 0 (C) 1 (D) ½ 3. Degree of the polynomial 4 4 + 0x3 + 0x5 + 5x + 7 is (A) 4 (B) 5 (C) 3 (D) 7 4. ... division, prove that 2x4 - 5x3 + 2x2 - x + 2 is divisible by x2 - 3x + 2. [Hint: Factorise x2 - 3x + 2]

Cbqs (case base study ) of chapter 2 Polynomials of maths class 9th -Maths 9th

Description : Cbqs (case base study ) of chapter 2 Polynomials of maths class 9th -Maths 9th

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Find the zeroes of the of the polynomials p(x) = 4x2 – 12x + 9 -Maths 10th

Description : Find the zeroes of the of the polynomials p(x) = 4x2 – 12x + 9 -Maths 10th

Last Answer : P(x)= 4x² - 12x + 9 4x²- 12x + 9 = 0 4x²- 6x - 6x +9 = 0 2x(2x - 3) - 3(2x - 3) = 0 (2x - 3) (2x - 3) x = 3/2 x = 3/2 x = 3/2 ; 3/2 are the zeros of the given polynomial.

How do you go about adding polynomials with fractions in parantheses?

Description : How do you go about adding polynomials with fractions in parantheses?

Last Answer : answer:No they don’t need to be to the LCD – that rule is for adding, not multiplying. Your problem written in your post is very easy. (A +B) (C+D+E) = AC+AD+AE+BC+BD+BE = 1/64X^2…

Number of displacement polynomials used for an element depends on . a.nature of element b.type of an element c.degrees of freedom d.nodes

Description : Number of displacement polynomials used for an element depends on . a.nature of element b.type of an element c.degrees of freedom d.nodes

Last Answer : c.degrees of freedom

what is the sum of the polynomials? (7x3 – 4x2) + (2x3 – 4x2) -General Knowledge

Description : what is the sum of the polynomials? (7x3 – 4x2) + (2x3 – 4x2) -General Knowledge

Last Answer : 7x^3 - 4x^2 + 2x^3 - 4x^2 = 9x^3-8x^2

what is the difference of the two polynomials? (9x2 + 8x) – (2x2 + 3x) -General Knowledge

Description : what is the difference of the two polynomials? (9x2 + 8x) – (2x2 + 3x) -General Knowledge

Last Answer : (9x^2 + 8x) - (2x^2 + 3x) = 7x^2 + 5x.

When do you divide polynomials?

Description : When do you divide polynomials?

Last Answer : In real life you will probably never divide polynomials, but you need to know how to solve homework and exam problems.

The number of polynomials having zeroes as -2 and 5 is: (a) 1 (b) 2 (c) 3 (d) More than 3

Description : The number of polynomials having zeroes as -2 and 5 is: (a) 1 (b) 2 (c) 3 (d) More than 3

Last Answer : (d) More than 3

Chapter 2 Polynomials

Description : Chapter 2 Polynomials

Last Answer : Chapter 2 Polynomials

Define the types of relations and their examples. -Maths 9th

Description : Define the types of relations and their examples. -Maths 9th

Last Answer : There are various types of relations:Let A be a non-empty set. Then, a relation R on A is said to be Reflexive if (a, a) ∈ R for each a ∈ A, i.e., if a R a for each a ∈ A. For example, the relation is as strong as is reflexive ... a || b ⇒ b || a a || b, b || c ⇒ a || c.

How many types of Trinagles? -Maths 9th

Description : How many types of Trinagles? -Maths 9th

Last Answer : answer:

the curved surface area of a cylinder is 154 cm. the total surface area of the cylinder is three times its curved surface area. find the volume of the cylinder. -Maths 9th

Description : the curved surface area of a cylinder is 154 cm. the total surface area of the cylinder is three times its curved surface area. find the volume of the cylinder. -Maths 9th

Last Answer : T.S.A = 3*154 = 462 cm² C.S.A = 154 cm² C.S.A = 2πrh T.S.A = 2πr(r+h) Now, In T.S.A = 2πrr + 2πrh 462 = 2πrr + 2πrh 462 = 2*22/7*r*r + 154 462 - 154 = 2*22/7*r*r 308*7/2*22 = r*r 49 = r*r R = 7 cm ... 7*h 154/44 = h 7/2 =h H = 3.5 cm or 7/2 cm Now volume = πrrh = 22/7 * 7* 7 *7/2 = 11*49 = 539 cm³

case study questions class 9 maths surface area and volume -Maths 9th

Description : case study questions class 9 maths surface area and volume -Maths 9th

Last Answer : Q. Read the source or text given below and answer the following questions: A conical circus tent has to be made with a cloth that is 5m wide, whose height is 24m, and the radius of the base is 7m. ... 4. Find the Curved Surface Area Answers: 1. Curved Surface Area 2. 550 m 3. Rs.3850 4.110m²

Sohan wants to show gratitude towards his teacher by giving her a card made by him. He has three pieces of trapezium pasted one above the other as shown in fig. These pieces are arranged in a way that AB||HC || GD || FE. Also BC=CD=DE, and GF=6 cm... -Maths 9th

Description : Sohan wants to show gratitude towards his teacher by giving her a card made by him. He has three pieces of trapezium pasted one above the other as shown in fig. These pieces are arranged in a way that AB||HC || GD || FE. Also BC=CD=DE, and GF=6 cm... -Maths 9th

Last Answer : Given : Sohan wants to show gratitude towards his teacher by giving her a card made by him. He has three pieces of trapezium pasted one above the other as shown in the fig. These pieces are arranged ... length of coloured tape required = 30 cm (b) The values are : Happiness, beauty, Knowledge.

While discussing the properties of a parallelogram teacher asked about the relation between two angles x and y of a parallelogram as shown ... -Maths 9th

Description : While discussing the properties of a parallelogram teacher asked about the relation between two angles x and y of a parallelogram as shown ... -Maths 9th

Last Answer : (a) Yes , x < y is correct (b) Ð ADB =Ð DBC = y (alternate int. angles) since BC < CD (angle opp. to smaller side is smaller) there for, x < y (c) Truth value

Hameed has built a cubical water tank with lid for his house, with each other edge 1.5m long. -Maths 9th

Description : Hameed has built a cubical water tank with lid for his house, with each other edge 1.5m long. -Maths 9th

Last Answer : Edge of cubical tank = 1.5 m ∴ Area of 4 walls = 4 (side)² = 4(1.5)² m² = 4 x 225 = 9 m² Area of floor = (1.5)² = 2.25 m² ∴ Total surface area = 9 + 2.25 = 11.25 m² Edge of square tile = 25 m = 0.25 m² ∴ Area of 1 tile = (0.25)2 = .0625 m²

A 4 cm cube is cut into 1 cm cubes. Calculate the total surface area of all the small cubes. -Maths 9th

Description : A 4 cm cube is cut into 1 cm cubes. Calculate the total surface area of all the small cubes. -Maths 9th

Last Answer : Side of cube = 4 cm But cutting into 1 cm cubes, we get = 4 x 4 x 4 = 64 Now surface area of one cube = 6 x (1)² = 6 x 1=6 cm² and surface area of 64 cubes = 6 x 64 cm² = 384 cm²

Three equal cubes are placed adjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes. -Maths 9th

Description : Three equal cubes are placed adjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes. -Maths 9th

Last Answer : Let each side of a cube = a cm Then surface area = 6a² cm² and surface area of 3 such cubes = 3 x 6a² = 18a² cm² By placing three cubes side by side we get a cuboid whose ... + 3a²] = 14 a² ∴ Ratio between their surface areas = 14a² : 18a² = 7 : 9

The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of ₹7.50 m². -Maths 9th

Description : The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of ₹7.50 m². -Maths 9th

Last Answer : Length of a room (l) = 5m Breadth (b) = 4 m and height (h) = 3 m ∴ Area of 4 walls = 2(l + b) x h = 2(5 + 4) x 3 = 6 x 9 = 54 m² and area of ceiling = l x b = 5 x ... ∴ Total area = 54 + 20 = 74 m2 Rate of white washing = 7.50 per m² ∴ Total cost = ₹74 x 7.50 = ₹555

Mary wants to decorate her ********* tree. She wants to place the tree on a wooden block covered with coloured paper with picture of Santa Claus on it. -Maths 9th

Description : Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden block covered with coloured paper with picture of Santa Claus on it. -Maths 9th

Last Answer : Length of box (l) = 80 cm Breadth (b) = 40 cm and height (h) = 20 cm ∴ Total surface area = 2(lb + bh + hl) = 2[80 x 40 + 40 x 20 + 20 x 80] cm² = 2[3200 + 800 + 1600] ... of one sheet = (40 cm)² = 1600 cm² ∴ No. of sheets required for the box = 11200 = 1600 = 7 sheets

Find the ratio of the total surface area and lateral surface area of a cube. -Maths 9th

Description : Find the ratio of the total surface area and lateral surface area of a cube. -Maths 9th

Last Answer : Let a be the edge of the cube, then Total surface area = 6a2² and lateral surface area = 4a² Now ratio between total surface area and lateral surface area = 6a² : 4a² = 3 : 2

Find the lateral surface area and total surface area of a cube of edge 10 cm. -Maths 9th

Description : Find the lateral surface area and total surface area of a cube of edge 10 cm. -Maths 9th

Last Answer : Edge of cube (a) = 10 cm (i) ∴ Lateral surface area = 4a² = 4 x (10)² = 4 x 100 cm²= 400 cm² (ii) Total surface area = 6a² = 6 x(10)² cm² = 6 x 100 = 600 cm²