Final answer:
To divide the given polynomial 24
 - 32x by 8x, you separately divide each term in the numerator by the denominator, resulting in a simplified form of 3x - 4.
 - 32x by 8x, you separately divide each term in the numerator by the denominator, resulting in a simplified form of 3x - 4.
Step-by-step explanation:
To divide the polynomials 24
 - 32x by 8x, you can simplify the division by separating each term in the numerator by the denominator:
 - 32x by 8x, you can simplify the division by separating each term in the numerator by the denominator:
Divide 24
 by 8x, which simplifies to 3x.
 by 8x, which simplifies to 3x.
Divide -32x by 8x, which simplifies to -4.
Hence, the simplified form of the polynomial after division is 3x - 4.