Question

Which binomial is a factor of f(x) = x4 – 3x3 – 28x2 + 36x + 144?

(x – 6)

(x – 4)

(x – 2)

(x + 3)

Answer 1

x^4-3x^3-28x^2+36x+144=(x-6)(x^3+3x^2-10x-24)

x-6 is a factor