Question

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Factor the expression
x^2+ 4x - 12

Answer 1

The answer to your question is: ( x + 6 ) ( x - 2 )

Explanation:

Factor x² + 4x - 12 = 0

Find two numbers that added gives +4 and if we multiply them get -12

We can find these numbers by decomposing -12 in its prime factors

12 2

6 2 12 = 2 x 2 x 3

3 3 now combine the numbers to get -12 and + 4

1 2 and 2 x 3 = 6

and 2 x 6 = 12

Then

( x + 6 ) ( x - 2 )