2015 UNCO Math Contest II Problems/Problem 3

Problem

If P is a polynomial that satisfies $P(x^2 +1) = 5x^4 +7x^2 +19$ , then what is $P(x)$ ? (Hint: $P$ is quadratic.)

$P(x)=5x^2-3x+17$

2015 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by Problem 2	Followed by Problem 4
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