Factor by Grouping
Integrated Mathematics
Students will apply concepts of
factoring and GCF’s in order to
write the factored form of a
polynomial.
Objective
Steps to Factor By Grouping
1. Find common factors between
pairs of terms.
2. Factor out the common factors
within each grouping.
3. Factor out the common binomial
𝟑
𝟐
EX.1) 𝟕𝒓 + 𝟒𝒓 + 𝟒𝟗𝒓 + 𝟐𝟖
𝟑
𝟐
EX.2) 𝟒𝒃 + 𝒃 + 𝟏𝟐𝒃 + 𝟑
𝟑
𝟐
EX.3) 𝟐𝟏𝒙 − 𝟑𝟓𝒙 + 𝟏𝟐𝒙 − 𝟐𝟎
𝟐
𝟐
EX.4) 𝟐𝒙𝒛 − 𝟏𝟓𝒚𝒄 − 𝟑𝒙𝒄 + 𝟏𝟎𝒚𝒛
EX.5) 10𝒎𝟐 𝒄 + 𝟓𝟔𝒏𝒌 − 𝟑𝟓𝒎𝟐 𝒌 − 𝟏𝟔𝒏𝒄
Try These
3
2
1. 𝑥 −4𝑥 +2𝑥 − 8
3
2
2. 5𝑥 −10𝑥 +3𝑥 − 6
3
2
3
2
3. 3𝑥 −4𝑥 +9𝑥 − 12
4. 2𝑥 +5𝑥 +6𝑥 + 15