document.write( "Question 588876: suppose you divide a polynomial by a binomial. how do you know if the binomial is a factor of the polynomial? \n" ); document.write( "

Algebra.Com's Answer #374892 by KMST(5328) $\"\"$ $\"About$

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If the zero of the binomial is a zero of the polynomial, the binomial is a factor of the polynomial.
\n" ); document.write( "For example, $\"x-1\"$ is a factor of
\n" ); document.write( " $\"P%28x%29=57x%5E7-23x%5E6%2B48x%5E5-76x%5E4%2B11x%5E3-15x%5E2%2B4x-6\"$ because
\n" ); document.write( " $\"x=1\"$ is the zero of $\"x-1\"$ and
\n" ); document.write( " $\"P%281%29=57-23%2B48-76%2B11-15%2B4-6=0\"$ \n" ); document.write( "

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