How do you factor x^2+18x+77?

1 Answer
David B.
May 20, 2016

x^2+18x+77 = (x+7)(x+11)

Explanation:

We can factor this quadratic by inspection by looking for two integers that multiply to give 77 and add to give 18. This is fairly easy since 77 only has two factors, being 11 and 7. Once we know that, we check to see if they add to give 18 which they do. Now we can write the factored quadratic as:

x^2+18x+77 = (x+7)(x+11)

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