Home
Class 10
MATHS
alpha, beta and gamma are zeros of the c...

`alpha, beta and gamma` are zeros of the cubic polynomial `kx^(3) - 5x + 9 .` If `alpha^(3) + beta^(3) + gamma^(3) = 27` , value of k is

A

1

B

3

C

`-1`

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Very short answer [VSA] type questions )|12 Videos
  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (Very short answer [VSA] type questions (Answer the following questions :))|10 Videos
  • POLYNOMIALS

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISE ( Exercise 9 . 4 (Optional))|5 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS - HIGHER ORDER THINKING SKILLS (HOTS)|12 Videos
  • PROBABILITY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

If alpha , beta , gamma are the roots of the equation x^(3) + 4x + 2 = 0 ,then alpha^(3) + beta^(3) + gamma^(3) =

If alpha, beta, and gamma are the zeros of 2x^(3) - 4x^(2) + 6x +9 , find value of alpha ^(-1) + beta^(-1) + gamma^(-1)

If alpha,beta,gamma are the roots of the equation 2x^(3) -3x^(2) +6x + 1 = 0 then alpha^(2) + beta^(2) + gamma^(2) is equal to…..

If alpha and beta are the zeros of the polynomial p(x)=3x^(2)-12+15 , find the value of alpha^(2)+beta^(2)

If alpha and beta are zeroes of the polynomial f(x) = x^(2) - x - k , such that alpha- beta = 9 . find k.

If alpha and beta are zeros of polynomial 2x^(2) + 7 x + 5 " find " alpha + beta + alpha beta .

If alpha and beta be the two zeroes of the quadratic polynomial p(x) = 2x^(2) - 3x + 7 , evaluate . i] alpha^(3) + beta^(3) ii] (1)/(2 alpha - 3) + (1)/( 2 beta - 3)

If alpha and beta are zeros of the quadratic polynomial f(x) = x^(2) - p (x + 1) - c , show that (alpha + 1) (beta + 1) = 1- c

If alpha and beta are zeros of the quadratic polynomial x^(2) - (k+6) x + 2 (2k -1) , find k if alpha + beta = (alpha beta)/(2)

If alpha and beta are the zeroes of the polynomial 2x^2 + 5x + 1 , then the value of alpha +beta+ alpha beta is