Algebra 2 PARCC: Factor an unknown polynomial

The following multiple-choice question, explained here in hopes of helping algebra 2 students and their parents in Maryland prepare for the PARCC test near the end of this school year, appears on the released version of the PARCC Algebra 2 sample test released following the 2016 test (#10).

chalkboard with polynomial formulas sketched

For an unknown polynomial function p(x), p(4) + 2 = 2. Which binomial is a factor of p(x)?

A.   x – 2
B.   x + 2
C.   x – 4
D.   x + 4

Correct answer and references
Sample solution strategy (there are others)

About the Author

Paul Katula
Paul Katula is the executive editor of the Voxitatis Research Foundation, which publishes this blog. For more information, see the About page.

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