How do you evaluate (x3+8x2+2x−11)÷(x−2)?
2 Answers
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.
Jan 27, 2018
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