Question

Consider the function f(x)=(x+4)(x+2). Dilate f(x) by x to create a new function of a higher degree.

Answer 1

f(x) = (x+4)(x+2).

f(x) = x² + 2x + 4x + 8

f(x) = x² + 6x + 8

Dilate by x:

x³ + 6x² + 8x