Question

Find the remainder of the following case when f(x) is divided by g(x).

f(x) = x² + 6x + 10, g(x) = x − 3

Answer 1

Step 1: Convert g(x) to (x – a) form

x − 3 = 0

x = 3

Step 2: Calculate the remainder

f(3) = 3² + 6(3) + 10

= 9 + 18 + 10

= 37