using types of factoring practice

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Mathematics
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Question description

Factor the polynomial using the GCF.

8 b c squared plus 24 b c


a. 8bc(bc + 24)

b. 8bc(bc + 3)

c. 8bc(c + 3)

d. 8bc(c + 16)



Factor the polynomial using the GCF.

12 a cubed b space minus space 6 a b space plus space 18 a b squared minus 18 a squared b


a. 6 left parenthesis 2 a cubed b minus a b space plus space 3 a b squared minus 3 a squared b right parenthesis

b. 6 a b left parenthesis 2 a squared minus space 1 space plus 3 b minus 3 a right parenthesis

c. 6 a b left parenthesis 2 a squared plus 3 b space minus space 3 a right parenthesis

d. 6 a b left parenthesis 2 a space minus space 1 space plus space 3 b space minus space 3 a right parenthesis



Factor the polynomial using the GCF.

2x(z + 7) + (z + 7)


a. 2x(z + 7)

b. 2x(z + 7)(z + 7)

c. (2x + 1)(z + 7)

d. (2x + 0)(z + 7)



Factor the polynomial using the GCF.

2(x - 4) + 3y(x - 4) 


a. (2 + 3y)(x - 4)

b. (2x - 4)(3xy - 4)

c. (2x - 4)(2 + 3y)(x - 4)

d. (2 + 3y)(x - 4)(x - 4)



Factor the polynomial by grouping.

ab + 2a + 5b + 10


a. (ab + 2a)(5b + 10)

b.  (b + 2)(5a + b)

c. (a + 5)(5b + 10)(b + 2)

d. (a + 5)(b + 2)



Factor the polynomial by grouping.

12xy - 18x - 10y + 15


a. (12xy - 18x)(-10y + 15)

b. (6x - 5)(2y - 3)

c. (6x - 5)(2y - 3)(2y + 3)

d. (6x - 5)(2y + 3)



Factor the polynomial.

10 a squared b cubed plus 5 a b squared minus space 15 a b cubed


a. 5 a b squared left parenthesis 2 a b plus 1 minus 3 b right parenthesis

b. 5 a b left parenthesis 2 a b squared plus b minus 3 b squared right parenthesis

c. 5 a b squared left parenthesis 2 a b minus 3 b right parenthesis

d. left parenthesis 10 a squared b cubed plus 5 right parenthesis left parenthesis a b squared minus space 15 a b cubed right parenthesis



Factor the polynomial. 

2 m left parenthesis n squared minus 8 right parenthesis minus left parenthesis n squared minus 8 right parenthesis


a. left parenthesis 2 m minus 0 right parenthesis left parenthesis n squared minus 8 right parenthesis

b. left parenthesis 2 m minus 1 right parenthesis left parenthesis n squared minus 8 right parenthesis

c. left parenthesis 2 m minus 1 right parenthesis left parenthesis n plus 8 right parenthesis left parenthesis n minus 8 right parenthesis

d. 2 m left parenthesis n squared minus 8 right parenthesis



x cubed plus 4 x squared plus 3 x space plus space 12


a. left parenthesis x cubed plus space 4 x squared right parenthesis left parenthesis 3 x plus 12 right parenthesis

b. left parenthesis x squared plus 3 right parenthesis left parenthesis x plus 4 right parenthesis

c. left parenthesis x squared plus 4 right parenthesis left parenthesis x plus 3 right parenthesis

d. left parenthesis x squared plus 4 right parenthesis left parenthesis x squared plus 3 right parenthesis



Factor the polynomial. 

4 x squared plus 2 x y minus 10 x minus 5 y


a. (2x - 5)(2x - y)

b. (2x - 5)(2x + y)

c. left parenthesis 4 x squared plus 2 x y right parenthesis left parenthesis 10 x minus 5 y right parenthesis

d. (2x - 5)(2x + y)(2x - y)




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(Top Tutor) Daniel C.
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School: UCLA
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