document.write( "Question 1155941: Factor f(x) into linear factors given that k is a zero of f(x).\r
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Algebra.Com's Answer #778637 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Consider f(x) = x³ - 75x - 250 as \r\n" );
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document.write( "f(x) = 1x³ +0x² - 75x - 250 to perform synthetic division on with -5.\r\n" );
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document.write( "-5|1  0 -75 -250\r\n" );
document.write( "  |  -5  25  250   \r\n" );
document.write( "   1 -5 -50    0\r\n" );
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document.write( "So we have factored\r\n" );
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document.write( "f(x) = x³ - 75x - 250\r\n" );
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document.write( "as\r\n" );
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document.write( "f(x) = (x+5)(x²-5x-50)\r\n" );
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document.write( "which factors further as\r\n" );
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document.write( "f(x) = (x+5)(x+5)(x-10)\r\n" );
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document.write( "or\r\n" );
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document.write( "f(x) = (x+5)²(x-10)\r\n" );
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document.write( "Edwin
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