2007 AMC 12A Problems/Problem 18
Solution
The polynomial has real coefficients, and What is
Solution
A fourth degree polynomial has four roots. Since the coefficients are real, the remaining two roots must be the complex conjugates of the two given roots, namely . Now we work backwards for the polynomial:
Thus our answer is .
See also
2007 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 17 |
Followed by Problem 19 |
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All AMC 12 Problems and Solutions |