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Factoring Test Prep

Total questions: 16

Worksheet time: 32mins

Name
Class
Date
1.

 15n3−20n2+9n−1215n^3-20n^2+9n-12  Factor Completely

a)

 (5n2+3)(5n2−4)\left(5n^2+3\right)\left(5n^2-4\right)  

b)

 (5n2−3)(3n−4)\left(5n^2-3\right)\left(3n-4\right)  

c)

 3(n+1)(5n2−4)3\left(n+1\right)\left(5n^2-4\right)  

d)

 (5n2+3)(3n−4)\left(5n^2+3\right)\left(3n-4\right)  

2.

 10x3+25x2+8x+2010x^3+25x^2+8x+20  Factor Completely

a)

 (5x2+4)(2x+5)\left(5x^2+4\right)\left(2x+5\right)  

b)

 2(5x2+4)(x+2)2\left(5x^2+4\right)\left(x+2\right)  

c)

 5(5x2+4)(x2+1)5\left(5x^2+4\right)\left(x^2+1\right)  

d)

 (5x2+4)(2x−5)\left(5x^2+4\right)\left(2x-5\right)  

3.

 20v3−15v2+16v−1220v^3-15v^2+16v-12  

Factor Completely

a)

 (5v2−4)(4v+3)\left(5v^2-4\right)\left(4v+3\right)  

b)

 (5v2+4)(4v−3)\left(5v^2+4\right)\left(4v-3\right)  

c)

 (5v2−4)(5v2+3)\left(5v^2-4\right)\left(5v^2+3\right)  

d)

 (5v2−4)(5v2−3)\left(5v^2-4\right)\left(5v^2-3\right)  

4.

 6x3−9x2+8x−126x^3-9x^2+8x-12  
Factor Completely

a)

 (3x2−4)(2x−3)\left(3x^2-4\right)\left(2x-3\right)  

b)

 6(x−1)(x+1)(x+2)6\left(x-1\right)\left(x+1\right)\left(x+2\right)  

c)

 (3x2−4)(2x+2)\left(3x^2-4\right)\left(2x+2\right)  

d)

 (3x2+4)(2x−3)\left(3x^2+4\right)\left(2x-3\right)  

5.

 −4n4−2n+20-4n^4-2n+20  Factor Completely

a)

 2n(−2n4−n+10)2n\left(-2n^4-n+10\right)  

b)

 2n(−2n5−n+10)2n\left(-2n^5-n+10\right)  

c)

 2(−8n4−2n+20)2\left(-8n^4-2n+20\right)  

d)

 2(−2n4−n+10)2\left(-2n^4-n+10\right)  

6.

 −35x+15x2+35x3-35x+15x^2+35x^3  Factor Completely

a)

 5x(−7+3x+7x2)5x\left(-7+3x+7x^2\right)  

b)

 5x(−35x+15x2+35x3)5x\left(-35x+15x^2+35x^3\right)  

c)

 5x2(−7x+3x2+7x3)5x^2\left(-7x+3x^2+7x^3\right)  

d)

 5x2(−7+3x+14x2)5x^2\left(-7+3x+14x^2\right)  

7.

 30x2+36x30x^2+36x  Factor Completely

a)

 (5x−4)(x−4)\left(5x-4\right)\left(x-4\right)  

b)

 6(2x+5)(x+3)6\left(2x+5\right)\left(x+3\right)  

c)

 2(5x−9)(x+9)2\left(5x-9\right)\left(x+9\right)  

d)

 6x(5x+6)6x\left(5x+6\right)  

8.

 5x2−36x+365x^2-36x+36  Factor Completely

a)

 (5x−6)(x−6)\left(5x-6\right)\left(x-6\right)  

b)

 (5x−6)(x+6)\left(5x-6\right)\left(x+6\right)  

c)

 (5x+6)(x−6)\left(5x+6\right)\left(x-6\right)  

d)

 4(7x+10)(x−5)4\left(7x+10\right)\left(x-5\right)  

9.

 7a2−52a+217a^2-52a+21  Factor Completely

a)

 2(5a+2)(a+7)2\left(5a+2\right)\left(a+7\right)  

b)

 (7a−3)(a−7)\left(7a-3\right)\left(a-7\right)  

c)

 (7a−3)(a+7)\left(7a-3\right)\left(a+7\right)  

d)

 (3a+1)(a+3)\left(3a+1\right)\left(a+3\right)  

10.

 35v2−40v−6035v^2-40v-60  Factor Completely

a)

 (7v+10)(v+9)\left(7v+10\right)\left(v+9\right)  

b)

 (7v+8)(v−6)\left(7v+8\right)\left(v-6\right)  

c)

 5(7v+6)(v−2)5\left(7v+6\right)\left(v-2\right)  

d)

 (3v+8)(v+7)\left(3v+8\right)\left(v+7\right)  

11.

 16x2−8x+116x^2-8x+1  Factor Completely

a)

 (2x+5)(2x−5)\left(2x+5\right)\left(2x-5\right)  

b)

 (4x−1)2\left(4x-1\right)^2  

c)

 (5x−1)2\left(5x-1\right)^2  

d)

 (4x+1)(4x−1)\left(4x+1\right)\left(4x-1\right)  

12.

 4n2−94n^2-9  Factor completely

a)

 (2n+5)(2n−5)\left(2n+5\right)\left(2n-5\right)  

b)

 (2n+3)(2n−3)\left(2n+3\right)\left(2n-3\right)  

c)

 (n−2)2\left(n-2\right)^2  

d)

 (2n−3)2\left(2n-3\right)^2  

13.

 n2−8n=0n^2-8n=0  Solve by factoring

a)

 n=1; n=4n=1;\ n=4  

b)

 n=8; n=0n=8;\ n=0  

c)

 n=2; n=0n=2;\ n=0  

d)

 n=−8; n=0n=-8;\ n=0  

14.

 p2−4p=32p^2-4p=32  Solve by factoring

a)

 p=8; p=−4p=8;\ p=-4  

b)

 p=−7, p=−4p=-7,\ p=-4  

c)

 p=−1; p=6p=-1;\ p=6  

d)

 p=−8; p=1p=-8;\ p=1  

15.

 a2=−13a−42a^2=-13a-42  Solve by Factoring

a)

 a=−4, a=−3a=-4,\ a=-3  

b)

 a=−6; a=−7a=-6;\ a=-7  

c)

 a=−6; a=−4a=-6;\ a=-4  

d)

 a=2; a=−3a=2;\ a=-3  

16.

 p2−6=−pp^2-6=-p  Solve by factoring

a)

 p=3; p=−4p=3;\ p=-4  

b)

 p=−6, p=5p=-6,\ p=5  

c)

 p=2; p=−3p=2;\ p=-3  

d)

 p=6; p=−1p=6;\ p=-1