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Compare Procedures for Efficiency and Robustness
Grade Level
Praxis Core
5165.288 Compare Procedures for Efficiency and Robustness
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Students simplify (x
2
– 9)/(x
2
+ 3x). Which procedure is most robust?
A
Cancel x
2
from the numerator and denominator because both expressions start with x
2
.
B
Subtract 9 and 3x because they are the non-square terms.
C
Factor to (x - 3)(x + 3)/(x(x + 3)), cancel the common factor, and note x cannot equal 0 or -3.
D
Set the numerator equal to zero and use those values as the simplified expression.
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