Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Find the remainder of (h4 + h2 – 2) ÷ (h + 3).

88

Step-by-step explanation:

Given:

(h⁴ + h² – 2) ÷ (h + 3).

We could obtain the remainder using the remainder theorem :

That is the remainder obtained when (h⁴ + h² – 2) is divided by (h + 3).

Using the reminder theorem,

Equate h+3 to 0 and obtain the value of h at h+3 = 0

h + 3 = 0 ; h = - 3

Substituting h = - 3 into (h⁴ + h² – 2) to obtain the remainder

h⁴ + h² – 2 = (-3)⁴ + (-3)² - 2 = 81 + 9 - 2 = 88

Hence, remainder is 88