What is the remainder when (x⁴ + 36) is divided by (x² - 8)? 
36, 64, 100, 117

Solution:

Given polynomial (x⁴ + 36)

We need to use long division method for dividing the polynomials.

A long division polynomial is an algorithm for dividing polynomial by another polynomial of the same or a lower degree.

The long division of polynomials also consists of the divisor, quotient, dividend, and the remainder as in the long division method of numbers.

Here, the coefficient of x³, x² and x are zero,

The remainder is 100.

What is the remainder when (x⁴ + 36) is divided by (x² - 8)? 

Summary:

The remainder when (x⁴ + 36) is divided by (x² - 8) is 100.