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Difference between revisions of "1976 AHSME Problems/Problem 19"

(Created page with "A polynomial <math>p(x)</math> has remainder three when divided by <math>x-1</math> and remainder five when divided by <math>x-3</math>. The remainder when <math>p(x)</math>...")
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Revision as of 12:14, 16 December 2016

A polynomial $p(x)$ has remainder three when divided by $x-1$ and remainder five when divided by $x-3$. The remainder when $p(x)$ is divided by $(x-1)(x-3)$ is

$\textbf{(A) }x-2\qquad \textbf{(B) }x+2\qquad \textbf{(C) }2\qquad \textbf{(D) }8\qquad \textbf{(E) }15$


Solution

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