2016 AMC 8 Problem 15
Attempt Problem 15 of the 2016 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2016 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
15.
What is the largest power of that is a divisor of
Answer: C
Small hint:
Factor as a difference of squares.
Big hint:
After factoring, count only the powers of in the product.
Video solution:
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Written solution:
We can factor this expression using difference of squares.
Because is odd, is the largest power of that divides the expression.
Thus, C is the correct answer.
Problem 15 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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