Question

Name the remainder for the quotient and describe or show how you found the remainder.

Answer 1

remainder = 0

Explanation:

Using the remainder theorem

If f(x) is divided by (x - h) then the remainder is f(h)

Here f(x) = x³ - x² - 17x - 15 and h = 5 , thus

f(5) = 5³ - 5² - 17(5) - 15 = 125 - 25 - 85 - 15 = 0 ← remainder

Since remainder is zero then (x - 5) is a factor of f(x)