Question

If p(x) = 2x2 – 4x and q(x) = x – 3, what is (pxq)(x)

Answer 1

`\text{Use FOIL}: (a + b)(c + d) = ac + ad + bc + bd\\\\p(x)=2x^2-4x,\ q(x)=x-3\\\\(p\cdot q)(x)=p(x)\cdot q(x).\ \text{Substitute:}\\\\(p\cdot q)(x)=(2x^2-4x)(x-3)=(2x^2)(x)+(2x^2)(-3)+(-4x)(x)+(-4x)(-3)\\\\=2x^3-6x^2-4x^2+12x=\boxed{2x^3-10x^2+12x}`

Answer 2

2x^2 – 16x + 30

Explanation:

100%