PERT Review Part IV: Factoring, Factoring and more Factoring
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SHOW YOUR WORK!
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Factor the polynomial completely.
1) x2 - x - 42
A) (x + 7)(x - 6)
C) (x + 6)(x - 7)
B) (x + 1)(x - 42)
D) prime polynomial
2) x2 + x - 20
A) (x - 5)(x + 4)
C) (x - 4)(x + 5)
B) (x + 1)(x - 20)
D) prime polynomial
3) x2 - 2xy - 8y 2
A) (x - 2y)(x + 4y)
C) (x - 2y)(x + y)
B) (x + 2y)(x - 4y)
D) prime polynomial
4) 6x2 - 6x - 36
A) 6(x + 2)(x - 3)
C) (6x + 12)(x - 3)
1)
2)
3)
4)
B) 6(x - 2)(x + 3)
D) prime polynomial
5) x2 y 2 - 10xy 2 + 21y 2
A) y 2 (x - 7)(x - 3)
B) y 2 (x - 7)(x + 3)
C) y 2 (x + 7)(x - 3)
D) y(x - 7)(x - 3)
6) 6x2 + x - 51
A) (6x + 3)(x - 17)
B) (6x + 17)(x - 3)
C) (6x - 3)(x + 17)
D) (6x - 17)(x + 3)
7) 5x2 + 7x - 6
A) (x - 2)(5x + 3)
C) (x + 2)(5x - 3)
5)
7)
B) (x - 3)(5x + 2)
D) prime polynomial
8) 64x2 - 112x + 49
8)
A) (64x + 1)(x + 49)
C) (8x + 7)2
B) (8x - 7)(8x + 7)
D) (8x - 7)2
9) x2 + 6x + 9
A) (x + 6)(x - 6)
6)
C) (x - 3)2
B) (x + 3)(x - 3)
10) x2 - 16xy + 64y 2
A) (x - 8y)2
D) (x + 3)2
9)
10)
B) (x - 8y)(x + 8y)
C) (x + 8y)2
D) prime polynomial
11) 81y 3 - 90y 2 + 25y
B) y(9y + 5)2
A) y(9y - 5)(9y + 5)
C) y(9y - 5)2
D) y(81y + 1)(y + 25)
1
11)
12) 64xy 2 - 144xyz 2 + 81xz 4
A) x(8y - 9z 2 )(8y + 9z 2 )
B) x(8y + 9z 2 )2
D) x(8y - 9z 2 )2
C) x(8y - 9z)(8y + 9z)
13) x2 - x - 72
A) (x + 1)(x - 72)
C) (x + 8)(x - 9)
B) (x + 9)(x - 8)
D) prime polynomial
14) x2 - 121
B) (x - 11)2
A) (x + 11)(x - 11)
C) (x + 11)2
12)
13)
14)
D) prime polynomial
15) 16 - 25x2
15)
A) (4 + 5x)2
C) (4 - 5x)2
B) (4 + 5x)(4 - 5x)
D) prime polynomial
16) x4 - 25
16)
A) (x2 - 5)2
C) (x2 + 5)2
B) (x2 + 5)(x2 - 5)
D) prime polynomial
17) x3 + 216
B) (x + 6)(x2 + 36)
A) (x - 216)(x + 1)(x - 1)
C) (x - 6)(x2 + 6x + 36)
17)
D) (x + 6)(x2 - 6x + 36)
18) x3 - 729
A) (x + 9)(x2 - 9x + 81)
B) (x - 9)(x2 + 81)
C) (x - 9)(x2 + 9x + 81)
18)
D) (x + 729)(x + 1)(x - 1)
19) 512 - x3
A) (8 + x)(64 - 8x + x2 )
C) (8 - x)(64 + x2 )
B) (8 + x)(64 - x2 )
19)
D) (8 - x)(64 + 8x + x2 )
20) 1000x3 + y 3
A) (10x - y)(100x2 + 10xy + y 2 )
C) (10x + y)(100x2 + 10xy + y 2 )
B) (10x + y)(100x2 - 10xy + y 2 )
D) (10x + y)(100x2 + y 2 )
2
20)