Question

if p(x) = ax²+bx+c ia a quadratic polynomial then what is the relation of -b/a with the zeros of p(x)?​

Answer 1

Question :-

• if p(x) = ax²+bx+c ia a quadratic polynomial then what is the relation of -b/a with the zeros of p(x)?

Answer:-

Given :-

• A quadratic polynomial p(x) = ax²+bx+c

To find :-

$\tt \: the \: relation \: of \: -\dfrac{b}{a} \: with \: the \: zeros \: of \: p(x).$

Solution:-

$\boxed{\purple{\tt Sum\ of\ the\ zeroes=\frac{-b}{a}}}$

─━─━─━─━─━─━─━─━─━─━─━─━─

Explore more :-

$\boxed{\red{\sf Sum\ of\ the\ zeroes=\frac{-coefficient\ of\ x}{coefficient\ of\ x^{2}}}}$

$\boxed{\purple{\tt Product\ of\ the\ zeroes=\frac{c}{a}}}$

$\boxed{\red{\sf Product\ of\ the\ zeroes=\frac{Constant}{coefficient\ of\ x^{2}}}}$