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If α And β Are the Zeros of the Quadratic Polynomial F(X) = Ax2 + Bx + C, Then Evaluate α2β + αβ2 - CBSE Class 10 - Mathematics

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Question

If α and β are the zeros of the quadratic polynomial f(x) = ax2 + bx + c, then evaluate α2β + αβ2

Solution

f(x) = ax2 + bx + c

α + β = `(-b/a)`

αβ = `c/a`

since α + β are the roots (or) zeroes of the given polynomials

then

α2β + αβ2

αβ(α + β)

`=c/a((-b)/a)`

`=(-bc)/a^2`

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for 10 Mathematics (2018 to Current)
Chapter 2: Polynomials
Ex. 2.10 | Q: 2.4 | Page no. 35
Solution If α And β Are the Zeros of the Quadratic Polynomial F(X) = Ax2 + Bx + C, Then Evaluate α2β + αβ2 Concept: Relationship Between Zeroes and Coefficients of a Polynomial.
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