Really need help please show steps

1. Find the remainder for the quotient:

(4x^3 - 20x^2 + 18x -12) ÷ (x-4)

2. Can we conclude that x - 4 is a factor of the polynomial

4x^3 - 20x^2 +18x -12

Respuesta :

Answer:

The answer to your question is below

Step-by-step explanation:

Process

Use ordinary division

                                           4x²  - 4x   + 2  

                             x - 4      4x³ - 20x² + 18x -12

                                         -4x³  + 16x²

                                            0   -  4x²   + 18x

                                                 + 4x²    - 16x

                                                    0       +2x  - 12

                                                             -2x   + 8

                                                                      - 4    remainder

We can conclude that "x - 4 " is not a factor of the polynomial because there was a remainder, if the remainder was zero, x - 4  would be a factor.