2017­2­15 factor completely.notebook
Today is Wednesday
2/15
Do Now:
-Take out HW
-Take calculator
-Copy tonight's HW
-Finish class work
-Factoring quiz tomorrow!
extra help tmrw @ 7:20
HW Answers
February 15, 2017
2017­2­15 factor completely.notebook
Today's Objective:
Factoring Polynomials Completely!
February 15, 2017
2017­2­15 factor completely.notebook
February 15, 2017
Guidelines for Factoring Polynomials Completely:
A polynomial is factored completely when it is written as a
product of unfactorable polynomials with integer coefficients.
1. Check for a GCF among all the terms.
2. Look for the Difference of Two Perfect Squares
3. Factor a Quadratic Trinomial of the form ax2 + bx + c
into a product of two binomial factors.
(***may need to split linear term)
Factor the polynomial completely
4
2
1) 50h - 2h
3
2
3) 2y - 12y + 18y
3
2) 3x - 12x
3
2
4) m - 2m - 8m
2017­2­15 factor completely.notebook
February 15, 2017
Factor completely 5) 3x3 + 6x2 − 18x 7) 3x3 − 12x 6) 7x4 − 28x2
8) 2y3 − 12y2 + 18y 9) m3 − 2m2 − 8m
Factor each of the following using the GCF
2
10) 2a + 2b
11) 5x + 5
12) 18c - 27d
14) 6x - 18
15) 10xy - 15x y
2 2
3 2
13) hb + hc
2
16) 21r s - 14r s
17) p + prt
2017­2­15 factor completely.notebook
February 15, 2017
Factor each trinomial into two binomials.
2
2
18) a + 3a + 2
2
19) x - 5x + 6
2
22) 15 - 8y + y
2
20) x - 11x + 10
2
21) y - 6y + 8
2
23) x - x - 2
2
24) y + 4y - 5
25) x - 11x - 4
Factor each of the following
2
26) 2x + 15x + 7
2
29) 18x - 9x - 2
2
27) 3x - 5x - 12
2
30) 2x + 13x + 21
2
28) 9x + 11x + 2
2
31) 3x - 20x - 63
2017­2­15 factor completely.notebook
February 15, 2017
Factor Completely:
2
2
32) 4x + 20 x + 24
33) x - 16
2
2
34) 9x + 90x - 99
35) ba - 9b
Multiply:
2
4
36) 4x y(-10xy )
38) (5x - 7)(3x + 2)
3
3
4
37) -r (3r + 6r - 2)
39) (7y - 1)(3y - 4)
2017­2­15 factor completely.notebook
February 15, 2017