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

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
by

1 Answer

Answer :

answer:
by

Related questions

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 : 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...

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.

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.

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:

Check whether p(x) is a multiple of g(x) or not -Maths 9th

Description : Check whether p(x) is a multiple of g(x) or not -Maths 9th

Last Answer : p(x) is a multiple of g(x) or not

Check whether p(x) is a multiple of g(x) or not -Maths 9th

Description : Check whether p(x) is a multiple of g(x) or not -Maths 9th

Last Answer : p(x) is a multiple of g(x) or not

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 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

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.

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.

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

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

Last Answer : answer:

2 . If the mean of the following distribution is 6 . Find the value of p ? x 2 4 6 10 P + 5 f 3 2 3 1 2 -Maths 9th

Description : 2 . If the mean of the following distribution is 6 . Find the value of p ? x 2 4 6 10 P + 5 f 3 2 3 1 2 -Maths 9th

Last Answer : Here's ur answer...

2 . If the mean of the following distribution is 6 . Find the value of p ? x 2 4 6 10 P + 5 f 3 2 3 1 2 -Maths 9th

Description : 2 . If the mean of the following distribution is 6 . Find the value of p ? x 2 4 6 10 P + 5 f 3 2 3 1 2 -Maths 9th

Last Answer : Here's ur answer...

Check whether polynomial p(x) = 2x(cube) - 9x(square) + x + 12 is a multiple of 2x-3 or not. -Maths 9th

Description : Check whether polynomial p(x) = 2x(cube) - 9x(square) + x + 12 is a multiple of 2x-3 or not. -Maths 9th

Last Answer : Solution :-

Find the remainder when f(x)=4x(cube) - 12x(square) +14x - 3 is divided by g(x) = (2x-1). -Maths 9th

Description : Find the remainder when f(x)=4x(cube) - 12x(square) +14x - 3 is divided by g(x) = (2x-1). -Maths 9th

Last Answer : ____2x2-5x+4________________ 2x-1 ) 4x3-12x2+14x-3( 4x3-2x2 - + ____________ 0 -10x2+14x-3 ... + ___________ X+1

Find the remainder when f(x)=9x(cube) -x 3x(square) + 14x - 3 is divided by g(x)=(3x-1). -Maths 9th

Description : Find the remainder when f(x)=9x(cube) -x 3x(square) + 14x - 3 is divided by g(x)=(3x-1). -Maths 9th

Last Answer : Solution :-

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.

If x^3 + px + q and x^3 + qx + p have a common factor, then which of the following is correct ? -Maths 9th

Description : If x^3 + px + q and x^3 + qx + p have a common factor, then which of the following is correct ? -Maths 9th

Last Answer : x3+px+q 3x2+p have common root Let common root =a a3+ap+q=0 a2=3−p​a=3−p​​4p3+27q2=? a3(a2+p)+q=0 ⇒3−p​​[(3−p​)+p]+q=0 3−p​​(3+2p​)=−q ⇒27−p(4p2)​=q2

If cos2B = (cos(A+C))/(cos(A-C)) , then show that tan A, tan B and tan C are in G.P. -Maths 9th

Description : If cos2B = (cos(A+C))/(cos(A-C)) , then show that tan A, tan B and tan C are in G.P. -Maths 9th

Last Answer : answer:

A cubic polynomial f(x) is such that f(1) = 1, f(2) = 2, f(3) = 3 and f(4) = 5, then f(6) equals : -Maths 9th

Description : A cubic polynomial f(x) is such that f(1) = 1, f(2) = 2, f(3) = 3 and f(4) = 5, then f(6) equals : -Maths 9th

Last Answer : answer:

write the degree of the polynomial p(x)=4 -Maths 9th

Description : write the degree of the polynomial p(x)=4 -Maths 9th

Last Answer : f(x)=4 =4*x0 So degree =0

p(x)=x3+3x2+3x+1, g(x) = x+2 -Maths 9th

Description : p(x)=x3+3x2+3x+1, g(x) = x+2 -Maths 9th

Last Answer : p(x) = x3+3x2+3x+1, g(x) = x+2 g(x) = 0 ⇒ x+2 = 0 ⇒ x = −2 ∴ Zero of g(x) is -2. Now, p(−2) = (−2)3+3(−2)2+3(−2)+1 = −8+12−6+1 = −1 ≠ 0 ∴By factor theorem, g(x) is not a factor of p(x

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

By remainder theorem, find the remainder when p(x) is divided by g(x) -Maths 9th

Description : By remainder theorem, find the remainder when p(x) is divided by g(x) -Maths 9th

Last Answer : Find the remainder when p(x) is divided by g(x)

By remainder theorem, find the remainder when p(x) is divided by g(x) -Maths 9th

Description : By remainder theorem, find the remainder when p(x) is divided by g(x) -Maths 9th

Last Answer : Find the remainder when p(x) is divided by g(x)

BY REAMINDER THEOREM FIND THE REAMINDER, WHEN P(x) IS DIVIDED BY G(X), WHERE -Maths 9th

Description : BY REAMINDER THEOREM FIND THE REAMINDER, WHEN P(x) IS DIVIDED BY G(X), WHERE -Maths 9th

Last Answer : NEED ANSWER

p(x)=x3-2x2-4x-1, g(x)=x- -Maths 9th

Description : p(x)=x3-2x2-4x-1, g(x)=x- -Maths 9th

Last Answer : NEED ANSWER

BY REAMINDER THEOREM FIND THE REAMINDER, WHEN P(x) IS DIVIDED BY G(X), WHERE -Maths 9th

Description : BY REAMINDER THEOREM FIND THE REAMINDER, WHEN P(x) IS DIVIDED BY G(X), WHERE -Maths 9th

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

p(x)=x3-2x2-4x-1, g(x)=x- -Maths 9th

Description : p(x)=x3-2x2-4x-1, g(x)=x- -Maths 9th

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

If x, y, z are in G.P. and (log x – log 2y), (log 2y – log 3z) and (log 3z – log x) are in A.P., -Maths 9th

Description : If x, y, z are in G.P. and (log x – log 2y), (log 2y – log 3z) and (log 3z – log x) are in A.P., -Maths 9th

Last Answer : (d) obtuse angledx, y, z are in G.P. ⇒ y2 = xz ...(i) (log x - log 2y), (log 2y - log 3z) and (log 3z - log x) are in A.P. ⇒ 2(log 2y - log 3z) = (log x ... x is the length of the side opposite ∠A.∵ cos A is less than 0, i.e, negative, ∠A is obtused and the triangle is obtuse angled.