1. 1 Today: Factoring (ax2 + bx + c) Trinomials Review of all
other factoring methods/test review Class Work
2. 2 Complete Factoring Guide Available 3. 3 Review: Perfect
Square Trinomial (x + 8x + 16) Remember, a PST factors into either
a square of a sum or a square of a difference. Use the FOIL method
to factor the following: (x + 4x + 4x + 16) = (x + 4) (x - 16x +
64) (x - 8x - 8x + 64) = (x - 8) (x - 15x + 36) (x - 12x - 3x + 36)
= Is not a sp. product. A trinomial with first & third term
squares is only a PST if... 9y3 + 12x2 + 4x PST or no PST? 4. Steps
in factoring completely: 1. Look for the GCF 2. Look for special
cases. a. difference of two squares b. perfect square trinomial 3.
If a trinomial is not a perfect square, look for two different
binomial factors. 8t4 32t3 + 40t = 8t(t3 - 4t + 5) 4x2 9y2 = (2x)2
(3y)2 x2 + 8x + 16 = x2 + 8x + 42 = (x + 4)2 x2 + 11x 10 = (x +
10)(x 1) 5. An organized approach to factoring 2nd degree
trinomials 5 Factoring (ax2 + bx + c) Trinomials 6. Factoring
Trinomials Use this algorithm (procedure) to take the guesswork out
of factoring trinomials. It would be a good idea to write the steps
down once, as they are easy to forget when away from class You can
use these steps for any ax2 + bx + c polynomial, and for any
polynomial you are having difficulty factoring. 7. Step 1 7
Multiply the leading coefficient and the constant term 8. Step 2 8
Find the two factors of 24 that add to the coefficient of the
middle term. Notice the 'plus, plus' signs in the original
trinomial. Factors of 24: 1 24 2 12 3 8 4 6 Our two factors are 4
& 6 9. Step 3 9 Re-write the original trinomial and replace 10x
with 6x + 4x. 3x2 + 6x + 4x + 8 Step 4 Factor by Grouping 10. Step
5 10 Factor out the GCF of each pair of terms After doing so, you
will have... Step 6 Factor out the common binomial, check that no
further factoring is possible, and the complete factorization is..
11. 11 Practice(2) Factor: 6x3 + 14x2 + 8x Factor: 4x2 20x + 25 12.
9y3 + 12x2 + 4x Factor 3x5 243xFactor 2m2 20mn + 50n2 Factor 5x4y
80x2y3 Factor 5x 5y + ax - ay
