document.write( "Question 1156299: Sketch the graph of a polynomial with odd degree, negative leading coefficient, and zeros x = - 6,(− 5/2) , 1, 4, and 7. \n" ); document.write( "

Algebra.Com's Answer #778997 by MathLover1(20850) $\"\"$ $\"About$

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Sketch the graph of a polynomial with odd degree, \r
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\n" ); document.write( "\n" ); document.write( " $\"x%5B1%5D+=+-6\"$
\n" ); document.write( " $\"x%5B2%5D+=%28-5%2F2%29+\"$
\n" ); document.write( " $\"x%5B3%5D+=1\"$
\n" ); document.write( " $\"x%5B4%5D+=4\"$
\n" ); document.write( " $\"x%5B5%5D+=7\"$ \r
\n" ); document.write( "\n" ); document.write( "=> $\"5\"$ roots, 5 degree\r
\n" ); document.write( "\n" ); document.write( "use product of roots theorem
\n" ); document.write( "since leading coefficient is negative put minus in front of product of roots\r
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\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=-%28%28x-%28-6%29%29%28x-%28-5%2F2%29+%29%28x-1+%29%28x-4+%29%28x-7+%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=-%28%28x%2B6%29%28x%2B5%2F2+%29%28x-1+%29%28x-4+%29%28x-7+%29%29\"$ ....multiply all\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=-x%5E5+%2B+7x%5E4%2F2+%2B+48x%5E3+-+247x%5E2%2F2+-+347x+%2B+420\"$ ...get rid of fraction\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=-2x%5E5+%2B+7x%5E4+%2B+96x%5E3+-+247x%5E2+-+694x+%2B+840\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"graph.png\"$ \r
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