# How do you factor #3x^2 + 45x + 162#?

##### 1 Answer

Jun 7, 2016

#### Explanation:

Find factors of 3 and 162 which ADD to 45.

45 is quite small compared to 162. This is an indication that we will need small factors of 162.

There are a few options which come to mind:

54 x 3 (54 is already too big)

27 x 6 is possible

18 x 9 is possible

The chosen factors have to be combined with 3 x 1 to give a sum of 45.

27 x 3 is too big

18 x 3 is too big

3 x 6 + 1 x 27 = 18 = 27 = 45. BINGO!