Question

Find the quotient on dividing x³ - 2x² - x + 2 by x + 1.

Solve by using the long division method. ​

Answer 1

For finding the remainder, we need to use remainder theorem.

let p(x)=x

3

−2x

2

+x+1

Hence, to find the remainder on dividing by x−1, we need to equate it to 0 and put that value of x in p(x).

⇒x−1=0

⇒x=1

p(1)=1

3

−2×1

2

+1+1

p(1)=1