Question

P (x) is a second degree polynomial with P(1) = 0 and P(– 2) = 0.

(a) Find two first degree factors of P (x).

(b) Find the polynomial P (x).

Answer 1

Given P (1) = 0 and P(– 2) = 0

(a) ∴ (x – 1) and (x + 2) are factor of P(x)

(b) P(x) = k[(x – 1) (x + 2)]

= k[(x2 + x – 2)]

(Where k ≠ 0)