9.4 Factoring Trinomials ax^2 + bx + c, by T Benjamin

Day 1: Steps to Factor ax^2 +bx+c

trbenjamin — 2014-03-04 15:20:32 UTC

1. Write trinomial in descending order

2. Mult terms a,c

3. List all factors ac (both signs)

4. Determine which factors are the sum of b (the middle term)

5 ** Rewrite the trinomial as 4 terms: split the middle: change b term to the 2 factors used in previous step and bring down the original a and c terms

6. Factor by grouping (see notes 9.2b)

7. Should have ( ) ( ) ....2 binomials

8. CHECK Factors using FOIL or Distributive Property

9.4 Notes

trbenjamin — 2014-03-04 23:24:00 UTC

WU: Factor by Grouping

trbenjamin — 2014-03-05 00:01:52 UTC

2x^2 + 3x + 4x + 6

Model for Vertical Motion

trbenjamin — 2014-03-05 00:26:45 UTC

h = -16t^2 + vt + s

h = height

v = velocity

s = initial height

t = time in seconds

trbenjamin — 2014-03-05 00:47:54 UTC

Day 2: Steps to Solve ax^2+bx= c

trbenjamin — 2014-03-05 01:08:01 UTC

1. Solve for 0 (get all terms on one side)

2. Write in descending order

3. Factor

4. Set each factor = 0

5. Solve for each equation

6. Check solution(s)