Question

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Factor the expression
x^2+ 4x - 12

Answer 1

Answer:

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

Step-by-step 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 )