document.write( "Question 870316: Factor the polynomial completely.
\n" ); document.write( "P(x) = 625x4 − 16
\n" ); document.write( "Find all its zeros. State the multiplicity of each zero. \n" ); document.write( "

Algebra.Com's Answer #524805 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"625x%5E4-16=%2825x%5E2-4%29%2825x%5E2%2B4%29=%285x-2%29%285x%2B2%29%2825x%5E2%2B4%29\"$ ;
\n" ); document.write( "The quadratic factor will have two complex zeros, each with imaginary part.
\n" ); document.write( " $\"25x%5E2=-4\"$
\n" ); document.write( " $\"5%2Ax=-2i\"$ and $\"5x=2i\"$
\n" ); document.write( " $\"x=-%282%2F5%29i\"$ and $\"x=%282%2F5%29i\"$
\n" ); document.write( "-
\n" ); document.write( "The other zeros, from the linear factors are $\"-%282%2F5%29\"$ and $\"%282%2F5%29\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "All multiplicities are 1. \n" ); document.write( "

\n" );