factoring lesson
Post on 18-Dec-2014
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Intro Video:
https://www.youtube.com/watch?v=wPOgvzVOQig
Last week:
FOIL Method1) First. Multiply the first terms in each binomial
2) Outer. Multiply the outer terms in each binomial
3) Inner. Multiply the inner terms in each binomial
4) Last. Multiply the last terms in each binomial
**combine any like terms
(x + 7)(x + 4) (x - 5)(x - 6)
(x + 5)(x - 3) (x - 3)(x - 3)review:
(x + 5)(x + 5) (x - 6)(x - 6)
SHORT CUT!
- 1st term: if both x's have a coefficient and power of 1, just put "x"
- 2nd term: add both constants together, then add x
- 3rd term: multiply both constants
FACTORING!
This week:
(x + 3)(x + 1)
x2 + 4x + 3
x2 + 4x + 3
( )( )
Objective: go from a trinomial back to binomials
x2 + 4x + 3
( )( )
Objective: go from a trinomial back to binomials
x2 - 7x + 10
x2 + 7x + 12
x2 - 3x - 10
x2 + 6x + 5 x2 + 4x - 12
x2 - 9x + 18 x2 - 100
do this as a group:
x2 - 5x - 24if you can factor this, you are a factoring ninja!
answer: (x - 8)(x + 3)
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