Mathematics 8

1. FACTORING
BY GROUPING
MODULE 5

2. STEPS
1. Group the terms that
have common
monomial factor. There
will be usually two
groups. Sometimes the

3. STEPS
2. Factor out the GCF from
each group.
3. If the two terms have a
common binomial
factor, factor out the

4. Factoring by Grouping
Consider the polynomial
𝒂𝒙 − 𝒂𝒚 + 𝒃𝒙 − 𝒃𝒚
𝒂𝒙 − 𝒂𝒚 + 𝒃𝒙 − 𝒃𝒚
𝒂 𝒙 − 𝒚 + 𝒃 𝒙 − 𝒚
𝒙 − 𝒚 + 𝒂 + 𝒃

5. EXAMPLE 1
𝒎 𝟐 − 𝟒𝒎 + 𝒎𝒏 − 𝟒𝒏
𝒎 𝒎 − 𝟒 + 𝒏 𝒎 − 𝟒
𝒎 − 𝟒 𝒎 + 𝒏
𝒎 𝟐 − 𝟒𝒎 + 𝒎𝒏 − 𝟒𝒏

6. EXAMPLE 2
𝟏𝟐𝒂 𝟑 − 𝟗𝒂 𝟐 + 𝟐𝟎𝒂 − 𝟏𝟓
𝟑𝒂 𝟐 𝟒𝒂 − 𝟑 + 𝟓 𝟒𝒂 − 𝟑
𝟏𝟐𝒂 𝟑
− 𝟗𝒂 𝟐
+ 𝟐𝟎𝒂 − 𝟏𝟓
𝟒𝒂 − 𝟑 𝟑𝒂 𝟐 + 𝟓

7. EXAMPLE 3
𝟑𝒙 𝟐 − 𝟔𝒙 + 𝟒𝒙 − 𝟖
𝟑𝒙 𝟐
− 𝟔𝒙 + 𝟒𝒙 − 𝟖
𝟑𝒙 𝒙 − 𝟐 + 𝟒 𝒙 − 𝟐
𝒙 − 𝟐 𝟑𝒙 + 𝟒

8. Thank you