Factoring a Four Term Polynomial by Factoring by Grouping
1. Factor a GCF out of the first two terms and then factor a GCF out
of the last two terms. The binomial inside the parentheses should
be the same. If they are not the same, rearrange the four term
polynomial until they are the same or you have tried all
combinations.
2. Your answer is the shared binomial and the other binomial is
made from the two GCF that you have factored out.
1. y(y – 6) + 3(y – 6)
6. 2(b – 2) – b(b – 2)
2. x(x – y) – 2(y – x)
7. c(d – 4) + d(4 - d)
3. 𝑥 2 − 2𝑥 + 3𝑥 − 6
8. 𝑦 2 + 4𝑦 − 2𝑦 − 8
4. cd – 2c – 6d + 12
9. pq + 3q – 4q - 12
5. 7𝑦 3 − 12 + 21𝑦 2 − 4𝑦
10. 𝑧 3 − 8𝑧 2 − 3𝑧 + 24