If α and β are the roots of the equation ax 2 + bx + c = 0, where

If α and β are the roots of the equation ax 2 + bx + c = 0, where
| If α and β are the roots of the equation ax2 + bx + c = 0, where a ≠ 0, then (aα + b) (aβ + b) is equal to:

A. ab

B. bc

C. ac

D. abc

Please scroll down to see the correct answer and solution guide.

Right Answer is: C

SOLUTION

Given equation is ax2 + bx + c = 0 (where a  0)

α and β are the roots of given equation

(aα + b) (aβ + b) = a2 + ab + ab + b2

= a2 + ab + b2

From the given quadratic equation