1. 2.6 Factor x2 + bx + c

2. Facts
Use the following information to factor trinomials of the form x2 + bx + c:
x2 + bx + c = (x + p)(x + q)
p + q = b
pq = c
You can FOIL your answer to check your work!

3. Example 1:
Factor x2 + 10x + 24
Find two positive factors of 24 whose sum is 10.

4. Example 2:
Factor w2 – 10w + 9
Because b is negative and c is positive, p and q must be negative.

5. Example 3:
Factor k2 + 6k – 7
Because c is negative, p and q must have different signs.

6. You Try: Factor the trinomial: y2 + 6y + 5 Answer: (y + 5)(y + 1)
z2 – 7z + 12
Answer: (z – 3)(z – 4)
y2 + 2y – 63
Answer: (y – 7)(y + 9)

7. Example 4: Solve the equation h2 – 4h = 21 Solution:
Write the original equation: h2 – 4h = 21
Subtract 21 from each side: h2 – 4h – 21 = 0
Factor the left side: (h + 3)(h – 7) = 0
Zero-Product Property: h + 3 = 0 OR h – 7 = 0
Solve for h: h = -3 OR h = 7

8. You Try:
Solve the equation x = 11x

9. Homework:
P. 83 # 1 – 27odd