Final answer:
Divide each term of (24x³+8x²+36x) by (-4x) separately to get -6x² - 2x - 9. This is the simplified form of the given polynomial divided by -4x.
Step-by-step explanation:
To divide the polynomial (24x³+8x²+36x) by (-4x), we should divide each term of the polynomial separately by -4x.
- Divide 24x³ by -4x:
(24x³) ÷ (-4x) = -6x² - Divide 8x² by -4x:
(8x²) ÷ (-4x) = -2x - Divide 36x by -4x:
(36x) ÷ (-4x) = -9
Combine the results of the division:
-6x² - 2x - 9
Therefore, the simplified answer is -6x² - 2x - 9.