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use long division to find the quotient A(x) and the remainder R(x) is divided by d(x) and express P(x) in the form d(x) times Q(x) + R(x). P(x)=x^3+1x^2-3X+85 D(x)=x+5

 Mar 5, 2017
 #1
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I have changed you question so that it makes sense.

 

use long division to find the quotient A(x) and the remainder  R(x) when P(x) is divided by d(x) and express P(x) in the form d(x) times Q(x) + R(x).

P(x)=x^3+1x^2-3X+85         D(x)=x+5

 

P(-5)=-125+25+15+85=0   therefore this is not going to be a remainder   :)


\(\begin{array}{rrrrrrrr}\\ &x^2&-4x&+17\\\hline x+5|&x^3&+1x^2&-3x&+85\\ &x^3&+5x^2\\\hline &&-4x^2&-3x&+85\\ &&-4x^2&-20x\\\hline &&&17x&+85\\ &&&17x&+85\\\hline &&&&0 \end{array}\)


\(P(x)=d(x)Q(x)+R(x)\\ where\\ P(x)=x^3+1x^2-3X+85\\ Q(x)=(x^2-4x+17)\\ D(x)=x+5\\ R(x)=0\)

 Mar 5, 2017
 #2
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Thank you!

 Mar 5, 2017

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