Difference between revisions of "1954 AHSME Problems/Problem 32"
(Created page with "== Problem 32== The factors of <math>x^4+64</math> are: <math> \textbf{(A)}\ (x^2+8)^2\qquad\textbf{(B)}\ (x^2+8)(x^2-8)\qquad\textbf{(C)}\ (x^2+2x+4)(x^2-8x+16)\\ \textbf{...") |
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\end{align*}</cmath> | \end{align*}</cmath> | ||
So it is clear that our answer is <math>\boxed{\textbf{(E)}}</math>. | So it is clear that our answer is <math>\boxed{\textbf{(E)}}</math>. | ||
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| + | ==See Also== | ||
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| + | {{AHSME 50p box|year=1954|num-b=31|num-a=33}} | ||
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| + | {{MAA Notice}} | ||
Latest revision as of 00:52, 28 February 2020
Problem 32
The factors of 
are:
Solution
Notice that:
So, using the Sophie Germain Identity, we can factor the expression as:
So it is clear that our answer is 
.
See Also
| 1954 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 31 |
Followed by Problem 33 | |
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| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
