1. Factoring Pattern for ax2 + bx + c
Chapter 5
Section 5.9

2. Objective
Students will factor general quadratic trinomials with integral coefficients

3. Concept
If ax2 + bx + c (a > 1) can be factored, the factorization will have the pattern: (px + r)(qx + s)

4. Concept
The process for factoring in this lesson is very similar to what you have been doing the last two sections. 1. Find all factors of ax2 2. Find all factors of c 3. Find the pair of factors in the list where product of outer terms + product of inner terms gives you the linear term

5. Signs
ax2 + bx – c = one positive one negative ax2 – bx – c = one positive one negative ax2 - bx + c = both negative ax2 + bx + c = both positive

6. Example
2x2 + 7x - 9

7. Example
14x2 – 17x + 5

8. Example
x – 6x2

9. Example
5a2 – ab – 22b2

10. Questions

11. Assignment
Worksheet