Question

What is the remainder when f(x) = 3x3 + 27x2 + 18x − 168 is divided by (x − 4)?

Answer 1

The remainder when f(x) = 3x3 + 27x2 + 18x − 168 is divided by (x − 4) is 528

How to determine the remainder?

The polynomial function is given as:

P(x) = 3x^3 + 27x^2 + 18x - 168

The dividend is given as:

x - 4

Set the dividend to 0

x - 4 = 0

Add 4 to both sides

x = 4

Substitute x = 4 in P(x) = 3x^3 + 27x^2 + 18x - 168

P(4) = 3 * 4^3 + 27 * 4^2 + 18 * 4 - 168

Evaluate

P(4) = 528

Hence, the remainder when f(x) = 3x3 + 27x2 + 18x − 168 is divided by (x − 4) is 528

Read more about remainder theorem at:

brainly.com/question/13328536

#SPJ1