Home
Class 12
MATHS
If alpha, betaand gamma are the three ze...

If `alpha, betaand gamma` are the three zeroes of the polynomial `p(x) = x^3 – 64x - 14`, what is the value of `alpha^3+beta^3+gamma^3` ?

A

36

B

40

C

42

D

64

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha,beta and gamma are the three zeroes of the polynomial p(x)=x^(3)64x-14, what is the value of alpha^(3)+beta^(3)+gamma^(3)?

If alpha, beta, gamma are the zeros of the polynomial p(x) = 6x^(3)+3x^(2)-5x+1, find the value of (1/alpha+1/beta+1/gamma).

If alpha,beta gamma are the zeroes of polynomial f(x) =(x-1)(x^(2)+x+3) , then find the value of alpha^(3)+beta^(3)+gamma^(3) .

If alpha and beta are the zeroes of the polynomial p(x)=3x^(2)-14x+15 .find the value of alpha^2+beta^2

If alpha,beta,gamma are the zeroes of the polynomial f(x)=2x^(3)+6x^(2)-4x+9, find the value of (1)/(alpha beta)+(1)/(beta gamma)+(1)/(gamma alpha)

If alpha, beta and gamma are the roots of the cubic equation (x-1)(x^(2) + x + 3)=0 , then the value of alpha^(3) + beta^(3) + gamma^(3) is:

If alpha, beta , gamma are the zeros of the polynomial x^(3)-6x^(2)-x+30 then the value of (alpha beta+beta gamma+gamma alpha) is

If alpha, beta, gamma are the zeros of the polynomial 2x^(3)+ x^(2) - 13 x+ 6 then alpha beta gamma = ?

If alpha and beta are zeroes of polynomial p(x) = x^(2) - 5x +6 , then find the value of alpha + beta - 3 alpha beta