Question

Write and equation in which the quadratic expression 2x^2 -2x -12 equals 0. Show the expression in factored form and explain what your solutions mean for the equation. Show your work.
a) Take out the GCF
b) Factor the rest of the equation
c) Find the solutions of the equation

Answer 1

2x^2 - 2x - 12 = 0

a) The GCF is 2x

2(x^2 - x - 6) = 0

What multiplies to negative six and adds to negative 1?
Negative 3 and positive 2.

2(x-3)(x+2) = 0

Solutions:

3, -2