document.write( "Question 1188473: Given that f(x) is a cubic function with zeros at −6, 0, and 4, find an equation for f(x) given that f(−7)=−8. \n" ); document.write( "
Algebra.Com's Answer #819564 by ikleyn(52812)\"\" \"About 
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document.write( "First step is to write  f(x) = ax*(x+6)*(x-4),  where \"a\" is some real number (a leading coefficient).\r\n" );
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document.write( "Second step is to find the value of \"a\" by substituting x= -7 into the equation.\r\n" );
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document.write( "You get then\r\n" );
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document.write( "    -8 = a*(-7)*(-1)*(-11)\r\n" );
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document.write( "    -8 = -77a\r\n" );
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document.write( "     a = \"8%2F77\".\r\n" );
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document.write( "THEREFORE, the polynomial is  f(x) = \"%288%2F77%29%2Ax%2A%28x%2B6%29%2A%28x-4%29\".    ANSWER\r\n" );
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