Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!


What is the remainder when you divide 4x^3 - 5x^2 + 3x - 1 by x - 2?

Answer 1

Answer: D

Step-by-step explanation:

x - 2 = 0   -->   x = 2

Using synthetic division:

2   |   4   -5   3   -1

    |   ↓    8   6   18

        4    3   9   17  ← this is the remainder!

Using remainder theorem:

f(x) = 4x³ - 5x² + 3x - 1

f(2) = 4(2)³ - 5(2)² + 3(2) - 1

     =   32   - 20    +  6    - 1

    = 17