Let and be the zeros of a quadratic polynomial whose leading coefficient is 1

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

Let α\alpha and β\beta be the zeros of a quadratic polynomial whose leading coefficient is 1. Which of the following is the polynomial in expanded standard form? (a) x2+(α+β)x+αβx^2+(\alpha+\beta)x+\alpha\beta (b) x2−(α+β)x+αβx^2-(\alpha+\beta)x+\alpha\beta (c) x2−(αβ)x+(α+β)x^2-(\alpha\beta)x+(\alpha+\beta) (d) x2−(α+β)x−αβx^2-(\alpha+\beta)x-\alpha\beta

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