document.write( "Question 953893: Someone please help me with this. I highly appreciate. find a polynomial of degree 4 that has zeros -3, 0, 1, and 5; and the coefficient of x^3 is -3 \n" ); document.write( "

Algebra.Com's Answer #582575 by MathLover1(20850) $\"\"$ $\"About$

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a polynomial of degree $\"4\"$ that has zeros $\"x%5B1%5D=-3\"$ , $\"x%5B2%5D=0\"$ , $\"x%5B3%5D=1\"$ , and $\"x%5B4%5D=5\"$ ;\r
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\n" ); document.write( "\n" ); document.write( "use zero product rule:\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%2B3%29%28x-0%29%28x-1%29%28x-5%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%2B3%29%28x%29%28x-1%29%28x-5%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%5E2%2B3x%29%28x%5E2-5x-x%2B5%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%28x%5E2%2B3x%29%28x%5E2-6x%2B5%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=x%5E4-6x%5E3%2B5x%5E2%2B3x%5E3-18x%5E2%2B15x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=x%5E4-3x%5E3-13x%5E2%2B15x\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-20%2C+10%2C+x%5E4-3x%5E3-13x%5E2%2B15x%29+\"$ \r
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