1965 AHSME Problems/Problem 27
Contents
[hide]Problem
When is divided by the quotient is and the remainder is . When is divided by the quotient is and the remainder is . If then is:
Solution
Let
Thus, the answer is .
Solution 2
As in the other solution, let . By dividing by (through either long or synthetic division), we get a remainder . Similarly, dividing by yields the remainder . Setting , we see that , which only holds when , which corresponds to answer choice .
See Also
1965 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 26 |
Followed by Problem 28 | |
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