Question

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

Answer 1

The answer to your question is below

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.