document.write( "Question 997279: Please help me answer this question.\r
\n" ); document.write( "\n" ); document.write( "Find the real zeros of the polynomial. State the multiplicity of each real zero.
\n" ); document.write( "p(x) = 25x5 − 95x4 + 139x3 − 97x2 + 32x − 4\r
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Algebra.Com's Answer #615454 by MathLover1(20855) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"p%28x%29+=+25x%5E5+-95x%5E4+%2B+139x%5E3+-97x%5E2+%2B+32x+-+4+\"$ ...to factor it, first write $\"-95x%5E4\"$ as $\"-20x%5E4-75x%5E4\"$ , $\"139x%5E3\"$ as $\"4x%5E3%2B+60x%5E3%2B75x%5E3\"$ , $\"-97x%5E2\"$ as $\"-60x%5E2-25x%5E2\"$ , and $\"32x\"$ as $\"12x%2B20x\"$ , then group\r
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\n" ); document.write( "\n" ); document.write( " $\"p%28x%29+=%28x%5E3-3x%5E2%2B3x-1%29+%2825x%5E2-20x%2B4%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"p%28x%29+=%28x-1%29%5E3+%285x-2%29%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( "so, zeros are:\r
\n" ); document.write( "\n" ); document.write( "if $\"0=%28x-1%29%5E3+\"$ => $\"x=1\"$ -the multiplicity of this real zero is $\"3\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"0=%285x-2%29%5E2\"$ => $\"5x-2=0\"$ => $\"x=2%2F5\"$ -the multiplicity of this real zero is $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-4%2C+4%2C+-5%2C+5%2C+%28x-1%29%5E3+%285x-2%29%5E2%29+\"$ \r
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