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Factoring
Unit
Name:_____________
Teacher:___________
Period:____
LT 11.1 Factor by GCF
Name:_________________Pd____
Factor.
1) 2y + 6xy
2) 75b2c3 + 60c6
3) t2h + 3t
4) 5c3 – 2c2
5) xy2 + xy
6) 6r2s – 3rs2
7) 6z4 – 18z3
8) 7a3 + 14a2
9) 6y + 15y2
10) 20r3s2 + 25rs3
11) 10x3 - 5x2 + 20x
12) 18x3 – 6x2 + 24x
13) 3a2b2 + 18ab
Sum and Product Puzzles
16)
17)
14) 20y4 + 35y3 + 15y2
12
-6
7
-1
18)
15) 6x5 – 4x3 + 2x
19)
-12
7
-11
8
LT 11.2 Factor when a = 1
Name________________Pd__
Factor, write prime if prime.
1) x2 + 6x + 8
2) c2 + 5c + 6
3) y2 – 9y + 14
4) x2 – 10x + 16
5) a2 + 12a + 27
6) x2 – 14x + 24
7) x2 – 15x + 36
8) y2 + 21y + 54
9) m2 + 13m – 36
10) x2 – 8x + 15
11) y2 – 4y – 32
12) x2 – x – 6
13) y2 + 3y – 18
14) b2 + 7b – 18
15) a2 + a – 56
16) c2 – 4c – 12
17) x2 – 9x – 36
18) y2 + 4y – 21
19) x2 – 22x – 75
20) x2 – 3x – 40
21) x2 – 13x + 36
LT 11.3 Factor when a is Prime
Name__________________Pd_____
1) 2x2 – 5x – 3
2) 2n2 – 3n – 14
3) 3x2 + 10x – 8
4) 5n2 + 2n - 7
5) 2y2 + 15y + 7
6) 7a2 – 11a + 4
7) 5n2 + 17n + 6
8) 2n2 + 9n – 5
9) 2x2 + 7x + 6
10) 3x2 + 4x – 7
11) 5a2 – 42a – 27
12) 2x2 + 13x + 15
Sum and Product Puzzles:
13)
14)
-8
12
7
-7
15)
20
-9
16)
16
-8
LT 11.4 Factor Perfect Square Binomials and Trinomials Name________________Pd____
Factor.
1) 4x2 – 1
2) x2 – 9
3) x2 + 8x + 16
4) 100x2 – 81
5) 64m2 – 16m + 1
6) 81x2 – 121
7) 25x2 + 40x + 16
8) 36m2 + 60m + 25
9) 16x2 – 625
10) x2 – 25
11) x2 – 100
12) x2 – 36
13) 9y2 – 24y + 16
14) x2 + 6x + 9
15) 16n2 – 72n + 81
16) 4y2 – 20y + 25
17) y2 – 10y + 25
18) x2 – 16
LT 11.5 Solve By Factoring Day 1
Name:______________________________
Solve.
1) (y + 4)(y – 5) = 0
2) 0 = (n + 1)(n + 8)
3) 10n(n – 2) = 0
4) 2x(x – 10) = 0
5) (p – 1)(p – 7) = 0
6) 0 = 2n(n – 1)(n – 3)
7) x(2x – 1)(2x + 1) = 0
8) 0 = n(n – 6)
9) 0 = 3x(4x – 1)(x – 2)
10) x2 – x – 12 = 0
11) x2 – 12x + 27 = 0
12) 0 = x2 – 4x – 32
13) 0 = m2 + 3m – 54
14) x2 – 4x + 3 = 0
15) x2 – 10x – 24 = 0
16) 0 = x2 + 12x + 35
17) y2 + 5y – 14 = 0
18) x2 – 5x – 36 = 0
Sum and Product Puzzles
19)
20)
21)
24
-14
-12
-4
-72
-21
LT 11.5 Solve by Factoring Day 2
Name:______________________________
Solve.
1) 0 = n2 – n
2) x2 + 16 = 8x
3) 4m2 – 25 = 0
4) y2 = 12y
5) a2 = 10 – 3a
6) r2 + 8 = 9r
7) n2 – 10n = -21
8) x2 + 4x = 5
9) u2 – 8 = 7u
10) a2 + 9a = -18
11) h2 = 32 – 4h
Sum and Product Puzzles
12)
13)
-1
13
0
-14
14)
-34
15
15)
9
6
Factoring Test Review
Name:______________________________
11.1 Factor by GCF
Factor by GCF
1) 36x2y2z2 – 54xyz2
2) 25p3q2 + 15p2q3
11.2 Factor when a = 1
3) y2 + 6y – 16
4) x2 – 6x – 7
5) m2 + 10m + 24
11.3 Factor when a is Prime
6) 2n2 – 3n – 14
7) 5n2 + 2n – 7
8) 7a2 – 11a + 4
11.4 Factor Perfect Square Binomials and Trinomials
9) 16x2 – 625
10) 25x2 + 40x + 16
11.5 Solve By Factoring
13) m2 – 4m – 45 = 0
11) x2 – 25
14) x2 – 12x + 35 = 0
12) 9y2 – 24y + 16
15) n2 + 12n + 32 = 0
LT 11.6 Solve Word Problems by Factoring Day 1 Name:______________________________
11.6 Solve Word Problems by Factoring Day 2
Name:______________________________
1) If a number is added to its square, the result is 72. Find the number.
2) If a number is subtracted from its square, the result is 90. Find the number.
3) A positive number is 56 less than its square. Find the number.
4) A negative number is 56 less than its square. Find the number.
5) Find two consecutive negative integers whose product is 72.
6) Find two consecutive positive even integers whose product is 120.
7) Find two consecutive positive odd integers whose product is 143.
8) The sum of the squares of two consecutive positive odd integers is 202. Find the integers.
9) The sum of the squares of two consecutive negative odd integers is 130. Find the integers.