document.write( "Question 1043391: Find the other factors of P(x)=x^5-x^4-20x^3+20x^2+64x-64 if you are given that x-4 and x+4 are factors of P(x) \n" ); document.write( "

Algebra.Com's Answer #658540 by ikleyn(52812) $\"\"$ $\"About$

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\n" ); document.write( "Find the other factors of P(x)=x^5-x^4-20x^3+20x^2+64x-64 if you are given that x-4 and x+4 are factors of P(x)
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document.write( "Both (x+4) and (x-4) are the factors. I checked it.\r\n" );
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document.write( "If and when you divide the given polynomial  P(x) =  by (x+4)*(x-4) = , you will get a quotient \r\n" );
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document.write( "q(x) = .\r\n" );
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document.write( "In turn, it has the root x = 1. You can easily check it.\r\n" );
document.write( "Hence (according to the Remainder theorem), it has the factor (x-1).\r\n" );
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document.write( "After dividing q(x) by (x-1) you get a quotient \r\n" );
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document.write( "r(x) =  = .\r\n" );
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document.write( "Hence, the original polynomial has factoring \r\n" );
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document.write( "f(x) =  = \r\n" );
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