Which one of the following correctly gives the sum and product of the zeros and of…

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

Problem

Which one of the following correctly gives the sum and product of the zeros

\alpha

and

\beta

of the quadratic polynomial

ax^{2}+bx+c\,(a\neq0)

? (a)

\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}

(b)

\alpha+\beta=\dfrac{b}{a},\;\alpha\beta=-\dfrac{c}{a}

(c)

\alpha+\beta=-\dfrac{c}{a},\;\alpha\beta=\dfrac{b}{a}

(d)

\alpha+\beta=-\dfrac{b}{2a},\;\alpha\beta=\dfrac{c}{a}