Steps for Factoring by Grouping - MSU Billings

Steps for Factoring by Grouping

1.

Group only the first two terms.

2.

Factor this first group.

3.

Write this same binomial factor for the second group.

4.

Find the common factor for the last two terms.

5.

Determine the correct sign. (Use the distributive property to check your signs.)

6.

Factor out the common binomial.

Example:

10p2 ? 15p ? 12p ? 18

Factor

1.

Group only the first two terms.

?10p

2

2.

?

? 15p ? 12p ? 18

Factor the first group.

5p?2p ? 3?

3.

Write the binomial factor for the second group.

5p?2p ? 3?

4.

Find the common factor for the last two terms.

5p?2p ? 3?

5.

6?2p ? 3?

Determine the correct sign.

signs.)

5p?2p ? 3? ?

6.

?2p ? 3?

(Use the distributive property to check your

6?2p ? 3?

Factor out the common binomial.

?2p ? 3??5p ? 6?

Zabrocki

4/25/2008

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