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)#

Related questions
See all questions in Factorization of Quadratic Expressions
Impact of this question
4623 views around the world
You can reuse this answer
Creative Commons License