document.write( "Question 1194014: The polynomial of degree 3, P(x) has a root multiplicity 2 at x=2 and a root of multiplicity 1 at x=-5. The y intercept is y=-16. Find a formula for P(x)
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Algebra.Com's Answer #826097 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "The polynomial of degree 3, P(x) has a root multiplicity 2 at x=2 and a root of multiplicity 1 at x=-5.
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document.write( "From the \"given\" part,  P(x) = \"a%2A%28x-2%29%5E2%2A%28x%2B5%29\",  and only real coefficient \"a\" is unknown.\r\n" );
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document.write( "To find it, use the condition about y-intercept (which happens when x=0).  It gives\r\n" );
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document.write( "    \"a%2A%28-2%29%5E2%2A5\" = -16.\r\n" );
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document.write( "From this equation, find \"a\"\r\n" );
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document.write( "    a*4*5 = - 16\r\n" );
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document.write( "    a = \"-4%2F5\".\r\n" );
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document.write( "Hence,  P(x) = \"%28-4%2F5%29%2A%28x-2%29%5E2%2A%28x%2B5%29\".    ANSWER\r\n" );
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