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Choose and Verify an Efficient Factoring Strategy
Grade Level
CLEP
CLEPCA.060 Choose and Verify an Efficient Factoring Strategy
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Which proposed solution for P(x) = 5x
3
- 5x correctly factors the polynomial and verifies it?
A
Change the signs to force a familiar pattern: 5(x - 1)(x - 1)(x + 1); expanding this product gives 5x
3
- 5x
2
- 5x + 5.
B
Pull out the wrong common factor: 6x(x - 1)(x + 1); expanding this product gives 6x
3
- 6x.
C
Pair the terms in the less useful order: 5(x + 1)(x - 1)(x + 1); expanding this product gives 5x
3
+ 5x
2
- 5x - 5.
D
Factor out the GCF, then finish a difference of squares: 5x(x - 1)(x + 1); expanding this product gives 5x
3
- 5x.
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