Factoring Trinomials

For example: X² - 14X +33

You need to find the factors of 33 that give you -14 when they are added up.

Step One:
Factors of 33: (33,1), (11,3)

Step Two:

Pick the factors that give you -14

(11,3)= -11-3 = -14

Step Three:

Set up your factors

(X-11)(X-3)

You can always check your answer by utilizing FOIL (First, Inner, Outer, Last).

(X-11)(X-3)=X²-11X-3X+33

= X²- 14X + 33

Final answer: X²-14X + 33 =(X-11)(X-3)