Question

If (x – p) and (x – q) are the factors of the polynomial P(x) = $x^2$ + ax + b =0, then P(x) can be written as:

• A. (x + p) (x + q)
• B. (x – p) (x – q)
• C. (x +p ) ( x – q)
• D. (x – p) ( x + q)

Answer 1

The correct option is B

(x – p) (x – q)

A polynomial P(x) of any degree can be written as a product of all its factors.

Given that (x- p) and (x – q) are the factors of $x^2$ + ax + b =0

Hence, P(x) = (x – p) (x – q).