Art of Problem Solving

2015 UNCO Math Contest II Problems/Problem 3: Difference between revisions

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== Solution ==
== Solution ==
<math>P(x)=5x^2-3x+17</math>


== See also ==
== See also ==

Revision as of 02:34, 13 January 2019

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.)

Solution

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

See also

2015 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions