Algebra 2
Name:
Unit 9 WS 9-6 Factoring by Grouping and Cubes
Pd:
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Factor each expression completely using GCF, Grouping, Sum of two cubes, or Difference of two cubes.
Some may factor by more than 1 method.
. 6r 3 -9r 2 s + 4rs-6s 2
2. a 3 -4a 2 +3a-12
3. 12ac + 21ad + 8bc+14bd
4. 10a3-20a2- 2a + 4
5.x 2 +3xy
6.
7. x 3 -27
8. y3 + 64
4x3 +8jc 2 -9x-18
9. 27y 3 -64
10. 8x3 + 343
11. 27m 3 + 8
12. 48x 5 -27x 3
Factor the following polynomial functions or equations completely and then find the solutions from each
factor. You may need to use the quadratic formula to find some solutions from the factors:
x=
-b + V& 2 2a
4x 2 -9x-36 = 0
Factors:
Solutions:
L NT 6 J(
<^
2. m3 + 5 m 2 - m - 5 =
X.^5 U XTH J
— 3 \ -v
^ S
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Factors:
Solutions:
j^
c
4~~ \
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3. y 3 -64 = 0
4. 8x3 + 27 = 0
Factors:
Factors:
Solutions:
"Z^" 2 f j t
Solutions:
5.
6. 48x5 = 27x3
Factors:
Factors:
Solutions:
~
if? I
Solutions:
" ^
Q ^ "3/L/
7. y 3 -7y 2 + 4y-28 =
8. 4c3 + 8c 2 -9c-18
Factors:
Factors:
Solutions:
Solutions:
9. 12:c 3 +4jc 2 -27jc-9 =
10. 8x -27x =
Factors:
Factors :
Solutions:
-3/
-A
Solutions:
2.
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