Download Worksheet - Mr. Young Math

Name: _______________________________________
Factoring: GCF
Date: ___________________
**Disclaimer! The material learned this entire month represents some of the most important mathematical
concepts that every student needs in order to be successful this year and every year after. BUCKLE UP!
Do Now:
1) Multiply: 3x(2x – 5)
2) Multiply: 2x2(x – 6)
3) Use Multiplication to rewrite x7 in four different arrangements of its factors.
Ex: x1 * x6 = x7
1) ________________________
2) ________________________
3) ________________________
4) ________________________
The Art of Factoring
a. Greatest Common Factor (GCF)
b. Difference of Two Squares (DOTS)
c. Trinomial (Adds/Multiplies)
d. Grouping (a > 1)
Greatest Common Factor (GCF) – REVERSE DIRSTRIBUTION.
1) Identify a number that divides into EVERY TERM.
2) Identify a variable factor that divides into EVERY TERM.
3) Write the answer!
Classwork: Factor.
1) 6x2 - 10x 
2) 6x3 + 12x2 - 8x 
3) 8x3 - 24x2 - 36x
4) 13x2 + 15x 
5) 2x2 + 8x – 2
 6) 12x3 + 9x2 - 3x
7) 5a – 5b
8) x2 + 2x
9) 9x4 – 15x3
10) 12x3 – 24x2 + 36x
11) 2x2 – 8x + 4
12) 9x4y3 – 18x5y + 6x2y
Name: _______________________________________
Factoring: DOTS
Do Now:
1) Multiply: (x – 5)(x + 5)
4) Factor out the GCF:
Date: ___________________
2) Multiply: (y – 4)(y + 4)
a) 3x2 – 12x
3) Multiply: (9 – x)(9 + x)
b) 14x – 2x2
Difference Of Two Squares (DOTS)
General Form: a2 – b2 = (a – b)(a + b)
1)
2)
3)
4)
Is there a GCF?
Is it DOTS?
Square root each term.
Write the answer!
Ex. 1: x2 – 36
Ex. 2: x2 – 16
Ex. 3: 25 – y2
Ex. 4 m6 – 9
1) x2 – 1
2) x2 – 81
3) x2 – y2
4) 144 – y2
5) 49 – x2
6) 4x2 – 25
7) 16r2 – 25s2
8) x4 – 81
9) 625 – z4
10) 2x2 - 18
11) 9x2 – 16
12) 16x4 – 1
13) 3r3 – 48r
14) a2 – 49b2
15) 6p3 – 54p
16) 12x3 – 27xy2
Classwork: Factor.
Name: _______________________________________
Factoring: Trinomial
Date: ___________________
Do Now:
Factor:
1) 49x2 – 16y2
3) 9 x 2  1
2) 6x4 – 18x2
Trinomial Factoring
Standard Form of a Trinomial: ax2 + bx + c
1) Is there a GCF?
2) Find two numbers that add to “b” and multiply to “c”
3) Write the answer!
Ex. 1: x2 – 7x + 10
Ex. 2: x2 + 6x + 9
Ex. 3: 2x2 – 10x – 28
Ex. 4: 3x2 + 12x – 135
1) x2 – x – 6
 2) x2 – 5x – 24
3) x2 + 6x + 8
4) x2 + 2x – 15
5) n2 + 3n – 54
6) x2 – 8x – 20
7) x2  + 11x + 18
8) 5x2 – 5x – 60
9) 2x2 + 4x – 16
10) 3x2 + 6x – 72
11) 4x3 + 20x2 + 16x
12) -3x2 – 27x – 54
Classwork: Factor.