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

B  

Step-by-step explanation:

Given,

Dividend =

Divisor =

Now According to the rule of Division.

Step 1: At first dividend is and Divisor is when it is divided for the first time the quotient will be and remainder will be

Step: 2 Now the remainder of step 1 will be new dividend which is and Divisor is  so when it is divided the quotient will be and remainder will be

Step: 3 Now the remainder of step 2 will be new dividend which is and Divisor is  when it is divided the quotient will be and remainder will be

Step: 4 Now the remainder of step 3 will be new dividend which is and Divisor is  when it is  divided the quotient will be and remainder will be

Step: 5 Now the remainder of step 4 will be new dividend which is and Divisor is  when it is 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.