Factoring out Monomials

For any multiple choice questions, the solution is the

expression that is factored completely, even though

several answers may be mathematically equivalent.

Factor out the greatest common

factor (monomial)

(         )
6x + 10
(         )

25x - 30y

(         )

8x + 4y + 12

(         )

22x - 12

(         )

6x2 + 9x

(         )

24x2 - 28x

(         )

8y2 + 3y

21x3 - 14x2 + 63x

7(3x3 - 2x2 + 9x)

x(21x2 - 14x + 63)

7x(3x - 2x + 63)

7x(3x2 - 2x + 9)

7x(3x3 - 2x2 + 9x)

Cannot be factored (prime)

10x3 + 2x2 + 4x

10(x3 + 2x2 + 4x)

10x(x2 + 2x + 4)

x(10x2 + 2x + 4)

2(5x3 + x2 + 2x)

2x(5x2 + x + 2)

Cannot be factored (prime)

9y3 - y2 - y

9(y3 - y2 - y)

y(9y2 - y - 1)

1(9y3 - y2 - y)

y(9y2 - y - y)

y(9y2 - y)

Cannot be factored (prime)

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