Difference between revisions of "1988 AHSME Problems/Problem 15"

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Suppose that <math>a</math> and <math>b</math> are integers such that <math>x^2-x-1</math> is a factor of <math>ax^3+bx^2+1</math>. What is <math>b</math>?
 
Suppose that <math>a</math> and <math>b</math> are integers such that <math>x^2-x-1</math> is a factor of <math>ax^3+bx^2+1</math>. What is <math>b</math>?
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Revision as of 13:03, 5 July 2013

Suppose that $a$ and $b$ are integers such that $x^2-x-1$ is a factor of $ax^3+bx^2+1$. What is $b$? The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png