Let the polynomial p be defined by 𝑝(𝑥)=(𝑥+3)(𝑥−6)(𝑥−9).

Question

Then p(x)=___9x^3+___x^2+__x+___

*apply the distributive law twice*

Answer 1

(x+3)(x-6)(x-9)

= (x+3)(x^2 -15x +54)

= x^3 -12x^2 +9x +162