Question

By actual division,find the quotient and the remainder when (x⁴-1) is divided by(x-1).

Answer 1

Answer:

Quotient is x ^ { 3 } - x ^ { 2 } + x + 1x

3

−x

2

+x+1 and the remainder is 2.

To find:

Quotient and the remainder by the actual division = ?

Solution:

Given : The “first polynomial” is “x^4 + 1x

4

+1 ” and the “second polynomial” is “x – 1”

The below attachment shows the division of the given polynomials.

Hence, the quotient is found out to be x ^ { 3 } - x ^ { 2 } + x + 1x

3

−x

2

+x+1 and the remainder is found to be 2.