Question

1)Expand and simplify. Express each equation in standard form.
a) f(x) = -2(x-1)(x+4)(x+1)(x-3)
b) f(x) = (x+2)(x+1)(x+4)
c) f(x) = x(x-6)

2) For each function in question 1. state the degree of the polynomial and identify the type of function

Answer 1

just a lot of number crunching
I will do the 2nd one, I am sure you can do the others

f(x) = (x+2)(x+1)(x+4)
= (x+2)(x^2 + 4x + x + 4)
= (x+2)(x^2 + 5x + 4)
= x^3 + 5x^2 + 4x + 2x^2 + 10x + 8
= x^3 + 7x^2 + 14x + 8

3rd degree function, called a cubic