SOLUTION: please factor out this problem. x^2-12x-45 thank you

Question 194110: please factor out this problem.

x^2-12x-45

thank you
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x^2-12x-45
Rewrite:
x^2-15x+3x-45
x(x-15)+3(x-15)
(x-15)(x+3)
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Cheers,
Stan H.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Set it equal to to find the factors

Completing the square:
Take 1/2 of rhe coefficient of the x term, square it,
then add it to both sides:
First add to both sides

Like magic, the left side becomes a perfect square:

Now take the square root of both sides

and

from these, I get:

And now I write them as the factors of

So,

Cool, or what?
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