Difference between revisions of "2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 4"
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== Problem == | == Problem == | ||
| − | Find | + | Find a second-degree polynomial with integer coefficients, <math>p(x) = ax^2 + bx + c</math>, such that <math>p(1),p(3),p(5)</math>, and <math>p(7)</math> are perfect squares, but <math>p(2)</math> is not. |
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== Solution== | == Solution== | ||
Revision as of 03:43, 19 January 2019
Problem
Find a second-degree polynomial with integer coefficients, 
, such that 
, and 
are perfect squares, but 
is not.
Solution
See also
| 2017 UNM-PNM Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNM-PNM Problems and Solutions | ||
