How do you factor completely 2x^2 + 36x + 162?

1 Answer
Apr 25, 2016

See below..

Explanation:

2x^2 + 36x + 162 (divide 2) gives you:
x^2 + 18x + 81, then you have to factorise it.

When you factorise it, it should look like that: (x + a)(x + b) = 0

But before you factorise, you should first find out what factors (a and b) of 81 that add to 18. In that case, 9 and 9 are the factors that add to 18 and multiply to 81.

(x+9)(x+9)