Factor the trinomials

(

1. x2 + 9x + 14

Answer: (x + 2) (x + 7)

Steps:

x^2 + 9x + 14

Find out the factors of 14

14: 1, 2, 7, 14

The factors can both be positive and negative:

14: - 1, - 2, - 7, - 14

Find a pair of factors (that makes up 14 when multiplied together), that can be added to make positive 9.

14 = 2 multiply by 7 2 + 7 = 9

First put the x's down in two different brackets:

(x) (x)

Now put the numbers in:

(x + 2) (x + 7)