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

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

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.

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...

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

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:

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.

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.

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

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.

How many types of polynomials? -Maths 9th

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

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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:

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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Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x) = 2x3+x2–2x–1, g(x) = x+1 -Maths 9th

Description : Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x) = 2x3+x2–2x–1, g(x) = x+1 -Maths 9th

Last Answer : Solution: p(x) = 2x3+x2–2x–1, g(x) = x+1 g(x) = 0 ⇒ x+1 = 0 ⇒ x = −1 ∴Zero of g(x) is -1. Now, p(−1) = 2(−1)3+(−1)2–2(−1)–1 = −2+1+2−1 = 0 ∴By factor theorem, g(x) is a factor of p(x

Prove that each angle of an Euilateral triangle is 60 degree. -Maths 9th

Description : Prove that each angle of an Euilateral triangle is 60 degree. -Maths 9th

Last Answer : Solution :-

Two opposite angles of a ||gm are (60–x) degree and (3x –4) degree. Find the measure of each angles of the IIgm. -Maths 9th

Description : Two opposite angles of a ||gm are (60–x) degree and (3x –4) degree. Find the measure of each angles of the IIgm. -Maths 9th

Last Answer : Solution :-

Determine the remainder when polynomial p(x) is divided by x - 2 . -Maths 9th

Description : Determine the remainder when polynomial p(x) is divided by x - 2 . -Maths 9th

Last Answer : p(x) = x4 - 3x2 + 2x - 5 According to remainder theorem, the required remainder will be = p(2) p(x) = x4 - 3x2 + 2x - 5 ∴ p(2) = 24 - 3(2)2 + 2(2) - 5 =16 - 12 + 4 - 5 = 3

Determine the mean of first 10 natural numbers. -Maths 9th

Description : Determine the mean of first 10 natural numbers. -Maths 9th

Last Answer : Mean = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 / 10 = 55 / 10 = 5.5

Determine which of the following polynomial has x – 2 a factor -Maths 9th

Description : Determine which of the following polynomial has x – 2 a factor -Maths 9th

Last Answer : first option is the correct answer for the given question solution is as follows:- let x-2=0 then, x=2 put x in (i) 3(2)(2)+6(2)-24=0 12+12-24=0 {use BODMAS rule for solution}... 24-24=0 0=0 this verifies our answer

Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD. -Maths 9th

Description : Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD. -Maths 9th

Last Answer : Given, opposite angles of a quadrilateral are equal. So, ABCD is a parallelogram and we know that, in a parallelogram opposite sides are also equal. ∴ CD = AB = 4cm

Determine the remainder when polynomial p(x) is divided by x - 2 . -Maths 9th

Description : Determine the remainder when polynomial p(x) is divided by x - 2 . -Maths 9th

Last Answer : p(x) = x4 - 3x2 + 2x - 5 According to remainder theorem, the required remainder will be = p(2) p(x) = x4 - 3x2 + 2x - 5 ∴ p(2) = 24 - 3(2)2 + 2(2) - 5 =16 - 12 + 4 - 5 = 3

Determine the mean of first 10 natural numbers. -Maths 9th

Description : Determine the mean of first 10 natural numbers. -Maths 9th

Last Answer : Mean = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 / 10 = 55 / 10 = 5.5

Determine which of the following polynomial has x – 2 a factor -Maths 9th

Description : Determine which of the following polynomial has x – 2 a factor -Maths 9th

Last Answer : first option is the correct answer for the given question solution is as follows:- let x-2=0 then, x=2 put x in (i) 3(2)(2)+6(2)-24=0 12+12-24=0 {use BODMAS rule for solution}... 24-24=0 0=0 this verifies our answer

Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD. -Maths 9th

Description : Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD. -Maths 9th

Last Answer : Given, opposite angles of a quadrilateral are equal. So, ABCD is a parallelogram and we know that, in a parallelogram opposite sides are also equal. ∴ CD = AB = 4cm

Determine the point on the graph of the linear equation x + y = 6, whose ordinate is 2 times its abscissa. -Maths 9th

Description : Determine the point on the graph of the linear equation x + y = 6, whose ordinate is 2 times its abscissa. -Maths 9th

Last Answer : Solution :-

In Fig. 6.19, AB| |CD. Determine x. -Maths 9th

Description : In Fig. 6.19, AB| |CD. Determine x. -Maths 9th

Last Answer : Solution :-

A closed iron tank 12 m long 9 m wide and 4 m deep is to be made . Determine the cost of iron sheet used at the rate of rs 5 per meter , sheet being 2 m wide. -Maths 9th

Description : A closed iron tank 12 m long 9 m wide and 4 m deep is to be made . Determine the cost of iron sheet used at the rate of rs 5 per meter , sheet being 2 m wide. -Maths 9th

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

Determine the domain and range of the following relations: (i) {(–3, 1), (–1, 1), (1, 0), (3, 0)} -Maths 9th

Description : Determine the domain and range of the following relations: (i) {(–3, 1), (–1, 1), (1, 0), (3, 0)} -Maths 9th

Last Answer : (i) Domain = {-3, -1, 1, 3}, Range = {0, 1} (ii) Domain = {x : x is a multiple of 3} = {3n : n ∈ Z} Range = {y : y is a multiple of 5} = {5n : n ∈ Z} (iii) Relation = {(x, x2) : x is a prime number ... (7, 49), (11, 121), (13, 169)} Domain = {2, 3, 5, 7, 11, 13}, Range = {4, 9, 25, 49, 121, 169}

If nCr : nCr+1 = 1 : 2 and nCr+1 : nCr+2 = 2 : 3 determine the values of n and r. -Maths 9th

Description : If nCr : nCr+1 = 1 : 2 and nCr+1 : nCr+2 = 2 : 3 determine the values of n and r. -Maths 9th

Last Answer : answer:

Determine the ratio in which 2x +3y – 30 = 0 divides the join of A(3, 4) and B(7, 8) and at what point? -Maths 9th

Description : Determine the ratio in which 2x +3y – 30 = 0 divides the join of A(3, 4) and B(7, 8) and at what point? -Maths 9th

Last Answer : Let A(1, 2) and B(11, 9) be the given points. Let the points of trisection be P and Q. Then,AP = PQ = QB = k (say)⇒ AQ = AP + PQ = 2k and PB = PQ + QB = 2k ∴ AP : PB = k : 2k = 1 : 2 and AQ ... two points of trisection are \(\big(rac{13}{3},rac{13}{3}\big)\) and \(\big(rac{23}{3},rac{20}{3}\big)\).

Determine the ratio in which the point P(m, 6) divides the join of A(– 4, 3) and B(2, 8). Also find the value of m. -Maths 9th

Description : Determine the ratio in which the point P(m, 6) divides the join of A(– 4, 3) and B(2, 8). Also find the value of m. -Maths 9th

Last Answer : (b) 1 : 2Any point on the x-axis is (a, 0).Let the point (a, 0) divide the join of A(2, -3) and B(5, 6) in the ratio k : 1. Then the co-ordinates of the point of division are \(\bigg(rac{5k+2}{k+1},rac{6k-3}{k+1}\ ... 6k - 3 = 0 ⇒ k = \(rac{1}{2}\)Required ratio is k : 1 ⇒ \(rac{1}{2}\) : 1 = 1 : 2.

What is the name of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane? -Maths 9th

Description : What is the name of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane? -Maths 9th

Last Answer : The name of horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane is x-axis and y-axis respectively

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.

Degree of the polynomial 4x4 + Ox3 + Ox5 + 5x+ 7 is -Maths 9th

Description : Degree of the polynomial 4x4 + Ox3 + Ox5 + 5x+ 7 is -Maths 9th

Last Answer : (a) Degree of 4x4 + Ox3 + Ox5 + 5x + 7 is equal to the highest power of variable x. Here, the highest power of x is 4, Hence, the degree of a polynomial is 4.