Write an 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.

ANSWER

The x-intercepts are (-2,0) and (3,0)

EXPLANATION

The given quadratic expression is

We equate this to zero to get:

Divide through by 2 to get,

This implies that,

This means that the graph of

meets the x-axis at x=3 or x=-2

Step-by-step explanation:

2x^2 - 2x - 12 = 0

by using the factoring method (or any other method of your choice for quadratic equations), you can express the above as:

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

This means that either,

(2x-6) = 0  or (x+2) = 0

Working out the above 2 linear equations gives the possible solutions for x as x = -2 or x = 3