How do you evaluate (x3+8x2+2x−11)÷(x−2)?

2 Answers
Teun
Jan 27, 2018

Using long division.

Explanation:

It is hard to show how long division works in this applet. So I would recommend looking it up on another website like khanacademy where they illustrate the method for you.

Jim G.
Jan 27, 2018

x2+10x+22+33x−2

Explanation:

one way is to use the divisor as a factor in the numerator

consider the numerator

x2(x−2)+2x2+8x2+2x−11

=x2(x−2)+10x(x−2)+20x+2x−11

=x2(x−2)+10x(x−2)+22(x−2)+44−11

=x2(x−2)+10x(x−2)+22(x−2)+33

quotient =x2+10x+22, remainder =33

⇒x3+8x2+2x−11x−2

=x2+10x+22+33x−2

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