Home
Class 10
MATHS
If alpha, beta, gamma are zeroes of poly...

If `alpha, beta, gamma` are zeroes of polynomial `6x^(3)+3x^(2)-5x+1`, then find the value of `alpha^(-1)+beta^(-1)+gamma^(-1)`.

Text Solution

Verified by Experts

The correct Answer is:
`-5`
Promotional Banner

Topper's Solved these Questions

  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -II : Algebra (Polynomials) (Long Answer Type Questions)|24 Videos

  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -II : Algebra (Pair of Linear Equations in Two Variables ) (Multiple Choice Questions)|12 Videos

  • DIKSHA QUESTIONS

    OSWAL PUBLICATION|Exercise Unit -II : Algebra (Polynomials) (Very Short Answer Type Questions)|7 Videos

  • COORDINATE GEOMETRY

    OSWAL PUBLICATION|Exercise SELF ASSESSMENT |20 Videos

  • INTRODUCTION TO TRIGONOMETRY

    OSWAL PUBLICATION|Exercise Self - Assessment |15 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta gamma are zeroes of cubic polynomial x^(3)+5x-2 , then find the value of alpha^(3)+beta^(3)+gamma^(3) .

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, 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 and beta are zeroes of the polynomial 3x^(2)-7x+1 then find the value of (1)/(alpha)+(1)/(beta)

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

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 and beta are zeroes of the polynomial 3x^(2)+6x+1 , then find the value of alpha+beta+alpha beta .

If alpha, beta are the zeros of the polynomial 4x ^(2)+3x+7 then find the value of (1)/(alpha) + (1)/(beta).

If alpha,beta,gamma are the roots of equation 3^(3)-2x^(2)+3x-5=0, then the value of (alpha-1)^(-1)+(beta-1)^(-1)+(gamma-1)^(-1) is equal to

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