Factoring Out GCF
Factoring Out Rational Numbers
Factoring out Negative Numbers
Definitions
100

12x - 9

3 (4x - 3)

100
Factor 1/8 out of 1/8x + 3/8

1/8 (x + 3)

100

Factor 2 out of -2p - 4.

2 (-1p - 2)

100

Negative Numbers

Numbers that are less than zero(0).

200

24x - 18

6 (4x - 3)

200

Factor 1/5 out of 1/5x - 9/5

1/5 (x - 9)

200

Factor -5 out of -5d + 30.

-5 (1d + -6)

200

Positive and negative numbers that can be written as a fraction where the denominator is not zero.  

Rational numbers

300

36x + 27

9 (4x + 3)

300

Factor 1/3 out of 1/3x + 2/3

1/3 (x + 2)

300

Factor -4 out of -8k - 12.

-4 (2k - (-3))

300

GCF

The largest factor that two or more integers share.

400

48y + 24

24 (2y + 1)

400

Factor 1/7 out of 1/7x - 5/7

1/7 (x - 5)

400

Factor -8 out of -32d + -56.

-8 (4d + 7)

400

A symbol that stands for an unknown value in an equation.

Variable

500

16n - 24

8 (2n - 3)

500

1/7x - 8/7

1/7(x - 8)

500

Factor -12 out of -24k + 120.

-12 (2k + -10)

500

Factoring an expression

Writing an expression as a product of factors.

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