document.write( "Question 1100968: Write a linear factorization of the function.\r
\n" ); document.write( "\n" ); document.write( "f(x) = x^4 + 49x^2 \n" ); document.write( "

Algebra.Com's Answer #715529 by KMST(5328) $\"\"$ $\"About$

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$\"x%5E2\"$ is a factor common to both terms, so
\n" ); document.write( " $\"x%5E4+%2B+49x%5E2=x%5E2%28x%5E2+%2B+49%29\"$
\n" ); document.write( "The factor $\"x%5E2%2B49\"$ cannot be further factored with real numbers,
\n" ); document.write( "because $\"x%5E2%2B49\"$ is not zero for any reaal number value of $\"x\"$ .
\n" ); document.write( "If you were allowed to use imaginary (complex) numbers,
\n" ); document.write( "you could further factor $\"x%5E2%2B49=%28x-7i%29%28x%2B7i%29\"$ \n" ); document.write( "

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