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)