1962 AHSME Problems/Problem 9
Problem
When is factored as completely as possible into polynomials and monomials with integral coefficients, the number of factors is:
Solution
Obviously, we can factor out an first to get . Next, we repeatedly factor differences of squares: None of these 5 factors can be factored further, so the answer is .
See Also
1962 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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