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

If `alpha` and `beta` are the zeroes of the polynomial `x^(2)+4x+3=0` ,find the polynomial whose zeroes are `1+(beta)/(alpha)` and `1+(alpha)/(beta)`

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)-(16)/(3)x+(16)/(3)` or `(1)/(3)(3x^(2)-16x+16)`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    CBSE COMPLEMENTARY MATERIAL|Exercise Practice test|10 Videos
  • POLYNOMIALS

    CBSE COMPLEMENTARY MATERIAL|Exercise Short answer type (ii) question|10 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    CBSE COMPLEMENTARY MATERIAL|Exercise PRACTICE-TEST (SECTION-D)|1 Videos
  • PRACTICE PAPER II

    CBSE COMPLEMENTARY MATERIAL|Exercise SECTION C|14 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the zeroes of the polynomial x^(2)+6x+9 then form a polynomial whose zeroes are -alpha and -beta

If alpha and beta are the zeroes of the polynomial x^(2)+4x-77, then the quadratic polynomial whose zeroes are (alpha+2 beta)/(alpha+beta) and (2 alpha+beta)/(alpha+beta) can be equal to

If alpha and beta are zeroes of the polynomial f(x)=x^(2)-2x+3. Find a polynomial whose roots are alpha+2 and beta+2

If alpha and beta are the zeroes of a polynomial x^(2)-3x-4 , then the polynomial whose zeroes are (alpha+beta) and alpha beta   is:

If alpha and beta are zeroes of the polynomial 6y^2 – 7y + 2 , find the quadratic polynomial whose zeroes are 1/alpha and 1/beta

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

If alpha and beta are the zeroes of the quadratic polynomial f(x)=x^(2)+x-2, then find a polynomial whose zeroes are 2 alpha+1 and 2 beta+1

If alpha and beta are the zeros of the polynomial f(x)=x^(2)+px+q, form a polynomial whose zeros are (alpha+beta)^(2) and (alpha-beta)^(2)

If alpha and beta are the zeros of a polynomial 2x^(2)-3x+5=0 .form a quadratic polynomial whose zeros are (alpha+beta) and (1/ alpha+1/ beta)

If alpha and beta are the zeros of the quadratic polynomial f(x)=2x^(2)-5x+7, find a polynomial whose zeros are 2 alpha+3 beta and 3 alpha+2 beta