Question

What is the remainder when f(x) = x2 + 14x − 8 is divided by (x − 4)?

80
64
56
52

Answer 1

Answer: The remainder is 64.

Answer 2

`f(x) = {x}^(2) + 14x - 8 \\ factor \: = \: (x - 4) \\ x = 4 \\ f(4) = {4}^(2) + 14(4) - 8 \\ = 64 \\ remainder \: = \: 64`