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Factoring Review (2/25-2/26)

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Factor

 12x2y320x12x^2y^3-20x  

a)

 4x(3xy35)4x\left(3xy^3-5\right)  

b)

 4x(3xy25)4x\left(3xy^2-5\right)  

c)

 4x(6xy310)4x\left(6xy^3-10\right)  

d)

 4x2(24x2y320)4x^2\left(24x^2y^3-20\right)  

2.

Factor

 56x38x56x^3-8x  

a)

 8x2(56x38x)8x^2\left(56x^3-8x\right)  

b)

 8x(7x2x)8x\left(7x^2-x\right)  

c)

 8x(7x21)8x\left(7x^2-1\right)  

d)

 8x2(35x2x)8x^2\left(35x^2-x\right)  

3.

Factor

 2x28x32x^2-8x^3  

a)

 2x2(x4x2)2x^2\left(x-4x^2\right)  

b)

 2x3(108x2)2x^3\left(10-8x^2\right)  

c)

 2x2(14x)2x^2\left(1-4x\right)  

d)

 3x(14x)3x\left(1-4x\right)  

4.

Factor

 x225x^2-25  

a)

(x+5)(x-5)

b)

(x+5)(x+5)

c)

(x-5)(x-5)

d)

prime

5.

Factor x2400x^2-400  

a)

 (x200)(x+200)\left(x-200\right)\left(x+200\right)  

b)

prime

c)

 (x+20)(x+20)\left(x+20\right)\left(x+20\right)  

d)

 (x20)(x+20)\left(x-20\right)\left(x+20\right)  

6.

 x2+81x^2+81  

Factor

a)

(x + 9)(x + 9)

b)

prime

c)

(x - 9)(x + 9)

d)

(x - 9)(x - 9)

7.

 2x28x32x^2-8x^3  

Factor

a)

 2x2(x4x2)2x^2\left(x-4x^2\right)  

b)

 2x3(108x2)2x^3\left(10-8x^2\right)  

c)

 2x2(14x)2x^2\left(1-4x\right)  

d)

 3x(14x)3x\left(1-4x\right)  

8.

 3x15-3x-15  

Factor

a)

 3(x+5)-3\left(x+5\right)  

b)

 3(x5)-3\left(x-5\right)  

c)

 3(x+5)3\left(x+5\right)  

d)

 3(x5)3\left(x-5\right)  

9.

 16xy+80xy216xy+80xy^2  

Factor

a)

2(8x +10y)

b)

4(4x +20y)

c)

16xy(1 + 5y)

d)

 16(xy+80xy2)16\left(xy+80xy^2\right)  

10.

 36x481x36x^4-81x  

Factor

a)

 9x(4x39)9x\left(4x^3-9\right)  

b)

 9x(4x49x)9x\left(4x^4-9x\right)  

c)

 9x(20x39x)9x\left(20x^3-9x\right)  

d)

 9x(4x29)9x\left(4x^2-9\right)