Question

If f(x) = x^2 + 4, then what is the remainder when f(x) is divided by x - 6?

Options:
A) 40
B) 52
C) 58
D) 64

Answer 1

The remainder when f(x) is divided by x - 6 is 40.

Step-by-step explanation:

To find the remainder when f(x) is divided by x - 6, we can use the remainder theorem. According to the remainder theorem, if we substitute the root of the divisor (x - 6) into the polynomial (f(x)), we will get the remainder. In this case, the root of the divisor is 6. Substitute 6 into f(x) and find the remainder:

f(6) = 6^2 + 4 = 40

So, the remainder when f(x) is divided by x - 6 is 40.