document.write( "Question 976974: Hey I need help solving this.\r
\n" ); document.write( "\n" ); document.write( "f(x) = x^3 − 2x^2 − 16x + 32
\n" ); document.write( "What are the zeros of this polynomial function? and what are the multiplicity of each zero and the number of turning points of the graph of the function?\r
\n" ); document.write( "\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #598465 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29+=+x%5E3+-2x%5E2-16x+%2B+32\"$ ......set $\"f%28x%29+=0\"$ , then group\r
\n" ); document.write( "\n" ); document.write( " $\"0+=+%28x%5E3+-2x%5E2%29-%2816x+-+32%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"0+=+x%5E2%28x+-2%29-16%28x+-+2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"0+=+%28x%5E2-16%29%28x+-+2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"0+=+%28x%5E2-4%5E2%29%28x+-+2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"0+=%28x-4%29%28x%2B4%29%28x-2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "zeros:\r
\n" ); document.write( "\n" ); document.write( " $\"0+=%28x-4%29\"$ => $\"x=4\"$
\n" ); document.write( " $\"0+=%28x%2B4%29\"$ => $\"x=-4\"$
\n" ); document.write( " $\"0+=%28x-2%29\"$ => $\"x=2\"$ \r
\n" ); document.write( "\n" ); document.write( "the multiplicity of each zero is $\"1\"$ \r
\n" ); document.write( "\n" ); document.write( "the number of turning points of the graph of the function is $\"2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-60%2C+60%2C+-60%2C+60%2C+%28x-4%29%28x%2B4%29%28x-2%29%29+\"$ \r
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