The document contains notes from a math lesson on factoring polynomials. It includes instructions on factoring trinomials where the leading coefficient is not 1, examples of factoring various polynomials, and an exercise to factor equations and check the solutions. Key points covered are finding two integers whose sum is the middle term and product is the constant term, then grouping the factors. It provides examples of polynomials that can and cannot be factored.

1. Lesson 8­4.notebook
February 04, 2014
Assignment:
1­­>L8.4, pg. 496, #2­28 evens [skip #22] ­ Due Tomorrow [2/5]
2­­>Checkpoint 8.1 ­ 8.3 ­ Due Thursday [2/6]
**Baby Pics??
***Yearbook form finished??

2. Lesson 8­4.notebook
Lesson 8.5 WarmUp:
Factor each polynomial.
1) 5g2h3 + 40g3h2
2)
3x2 + 6x + x + 2
3)
x2 ­ 4x ­ 21
4)
x2 ­ 10x + 24
5)
x2 + 4x ­ 21
February 04, 2014

3. Lesson 8­4.notebook
February 04, 2014
Lesson 8.4:
*To factor trinomials that don't have a leading coefficient of "1"...
ax2 + bx + c...
find 2 integers, m and p, with a sum of b and a product of ac.
then write ax2 + mx + px + c, and factor by grouping.
ex­­>2x2 + 5x + 3
factors
sum of
factors

4. Lesson 8­4.notebook
February 04, 2014
*prime polynomial ­ a polynomial that cannot be written as a product of 2
polynomials with integer coefficients
ex­­>4x2 ­ 3x + 5
factors
sum of
factors
****Always make sure and "factor" the trinomial first!

5. Lesson 8­4.notebook
February 04, 2014
Lesson 8.4 examples:
Factor each polynomial. If it can't be factored using integers, write prime.
A) 7x2 + 29x + 4
sum of
factors
B)
3x2 + 15x + 18
factors
factors
sum of
factors

6. Lesson 8­4.notebook
February 04, 2014
C)
3x2 ­ 17x + 20
D)
2x2 ­ x ­ 1
factors
factors
sum of
factors
sum of
factors

7. Lesson 8­4.notebook
E)
February 04, 2014
4x2 ­ 3x + 5
Solve each equation. Check your solutions.
F) 2x2 + 9x ­ 18 = 0
factors
sum of
factors
factors
sum of
factors