Question

If hcf of x³-27 and x³+4x²+12x+k is a quadretic polynomial find k

Answer 1

x³ = (3)³

x = 3

x³+4x²+12x+k

(3)³ + 4(3)² + 12(3) = ⁻ k

27 + 36 + 36 = ⁻ k

k = ⁻ 99