1953 AHSME Problems/Problem 18

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Problem 18

One of the factors of $x^4+4$ is:

$\textbf{(A)}\ x^2+2 \qquad \textbf{(B)}\ x+1 \qquad \textbf{(C)}\ x^2-2x+2 \qquad \textbf{(D)}\ x^2-4\\  \textbf{(E)}\ \text{none of these}$

Solution

$(x^2-2x+2)\cdot(x^2+2x+2)=x^4+4 \implies \textbf{(C)}$

See Also

1953 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 17
Followed by
Problem 19
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