1)Expand and simplify. Express each equation in standard form.

Question

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

1a. F(x) = -2(x^2-1)(x+4)(x-3).
F(x) = -2(x^2-1)(x^2-3x+4x-12).
F(x) = -2(x^2-1)(x^2+x-12).
F(x) = (-2x^2+2)(x^2+x-12).
F(x) = -2x^4-2x^3+24x^2.

b. F(x) = (x+2)(x+1)(x+4).
F(x) = (x^2+x+2x+2)(x+4).
F(x) = x^3+4x^2+x^2+4x+2x^2+8x+2x+8.
F(x) = x^3+7x^2+14x+8.

c. F(x) = x(x-6).
F(x) = x^2-6x.

2a. 4th degree.

b. 3rd degree.

c. 2nd degree.

Answer 2

X²-10x=5

Answer 3

f(x) = (x+1)(x+3)(x-5)