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Factor the perfect square trinomial

x^2-12x+36

1 Answer

3 votes

Answer:

Explanation:

x^2-12x+36

You need to find 2 numbers that multiply to equal 36 and add to get you -12.
1,2,3,4,6,6,9,12,18,36

The possible numbers that would work would be 6 and 6. Since 6 x 6 is 36 but adds up to get +12, we need to make it so that they add together to get -12.

In that case we get, (x-6)(x-6), or (x-6)^2.

To check if it is correct you can use the FOIL method.
First
Outer

Inner
Last

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