Question

By actual division, find the quotient and the remainder when the first polynomial is

divided by the second polynomial: x^4 + 1; x –1

Answer 1

hope this will help you

Answer 2

Answer:

Quotient is $x ^ { 3 } - x ^ { 2 } + x + 1$ and the remainder is 2.

To find:

Quotient and the remainder by the actual division = ?

Solution:

Given : The “first polynomial” is “$x^4 + 1$” 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 $x ^ { 3 } - x ^ { 2 } + x + 1$ and the remainder is found to be 2.