Difference between revisions of "2018 UNCO Math Contest II Problems/Problem 6"
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== Problem == | == Problem == | ||
| + | Circling the square. Exactly one of these polynomials is a perfect square; that is, can be | ||
| + | written as <math>(p(x))^2</math> where <math>p(x)</math> is also a polynomial. Circle the choice that is a perfect square, | ||
| + | and for that choice, find the square root, the polynomial <math>p(x)</math>. | ||
| + | (A) <math>36-49x^2 + 14x^4 </math> | ||
| + | (B) <math>36-48x^2 + 14x^4-x^6</math> | ||
| + | |||
| + | (C) <math>9-12x + 4x^2 + 12x^3-8x^4 + 4x^6 </math> | ||
| + | |||
| + | (D) <math>36-49x^2 + 15x^4-x^6</math> | ||
== Solution == | == Solution == | ||
| + | <math>C; p(x) = 2x^3-2x + 3</math> | ||
== See also == | == See also == | ||
{{UNCO Math Contest box|year=2018|n=II|num-b=5|num-a=7}} | {{UNCO Math Contest box|year=2018|n=II|num-b=5|num-a=7}} | ||
| − | [[Category:]] | + | [[Category:Intermediate Algebra Problems]] |
Latest revision as of 00:41, 14 January 2019
Problem
Circling the square. Exactly one of these polynomials is a perfect square; that is, can be
written as 
where 
is also a polynomial. Circle the choice that is a perfect square,
and for that choice, find the square root, the polynomial .
(A) 
(B) 
(C) 
(D) 
Solution
See also
| 2018 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
