Home
Class 10
MATHS
If alpha and beta are the zeros of the q...

If `alpha` and `beta` are the zeros of the quadratic polynomial `p(x)=4x^2-5x-1` , find the value of `alpha^2beta+alphabeta^2` .

A

`alpha^(2)beta+alphabeta^(2)=-(5)/(16)`

B

`alpha^(2)+beta^(2)=(33)/(16)`

C

`(1)/(alpha)+(1)/(beta)=-5`

D

All of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Match the Following )|2 Videos

  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Assertion & Reason Type Directions :)|5 Videos

  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Multiple Choice Questions) LEVEL-1|35 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 3.7)|18 Videos

  • PROBABILITY

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|26 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the zeros of the quadratic polynomial p(x)=4x^(2)-5x-1, find the value of alpha^(2)beta+alpha beta^(2)

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-x-4, find the value of (1)/(alpha)+(1)/(beta)-alpha beta

If alpha and beta are the zeroes of the quadratic polynomial f(x)=x^2-4x+3 then find the value of alpha^4beta^2+alpha^2beta^4

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

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-5x+4 , find the value of (1)/(alpha)+(1)/(beta)-2 alpha beta

If alpha and beta are the zeros of the quadratic polynomial f(x)=5x^(2)-7x+1, find the value of (1)/(alpha)+(1)/(beta)

If alpha and beta ar the zeros of the quadratic polynomial f(x)=x^(2)+x-2, find the value of (1)/(alpha)-(1)/(beta)

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

If alpha and beta are the zeros of the quadratic polynomial p(y)=5y^(2)-7y+1, find the value of (1)/(alpha)+(1)/(beta)

If alpha and beta are the zeros of the quadratic polynomial x^(2)-7x+10 find the value of alpha^(3)+beta^(3)