5x(x+1)-(x+1)
factor out the gcf​

5x(x+1)−(x+1)5x(x+1)-(x+1)

Since 5x2,4x,−15x2,4x,-1 contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for 5x2,4x,−15x2,4x,-1:

1. Find the GCF for the numerical part 5,4,−15,4,-1

2. Find the GCF for the variable part x2,x1x2,x1

3. Multiply the values together

Find the common factors for the numerical part:

5,4,−15,4,-1

The factors for 55 are 1,51,5.

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The factors for 55 are all numbers between 11 and 55, which divide 55 evenly.

Check numbers between 11 and 55

Find the factor pairs of 55 where x⋅y=5x⋅y=5.

xy15xy15

List the factors for 55.

1,51,5

The factors for 44 are 1,2,41,2,4.

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The factors for 44 are all numbers between 11 and 44, which divide 44 evenly.

Check numbers between 11 and 44

Find the factor pairs of 44 where x⋅y=4x⋅y=4.

xy1422xy1422

List the factors for 44.

1,2,41,2,4

The factors for −1-1 are −1,1-1,1.

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