5. which polynomial is equal to (x5 + 1) divided by (x + 1)?
a x – x3 -- x² - x + 1
b x4 – x3 + x2 -- x + 1
c x4 + x3 -- x2 + x + 1
d x4 + x3 + x2 + x + 1

B  

Step-by-step explanation:

Given,

Dividend =

Divisor =

Step 1: First The dividend is and Divisor is when divided first time the quotient will be and remainder will be

Step: 2 Now the new dividend is and Divisor is  when divided the quotient will be and remainder will be

Step: 3 Now the new dividend is and Divisor is  when divided the quotient will be and remainder will be

Step: 4 Now the new dividend is and Divisor is  when divided the quotient will be and remainder will be

Step: 5 Now the new dividend is and Divisor is  when divided the quotient will be and remainder will be 0.

Hence When the polynomial is divided by   the answer or quotient will be equal to   and remainder will be 0.

the balance is found at the link

step-by-step explanation: