Question

What is 24x3 − 16x2 + 20x divided by 4x?
A. 6x2 − 4x + 5
B. 6x2 + 4x − 5
C. 6x3 − 4x + 5
D. 6x3 + 4x − 5

Answer 1

To solve the expression \( \frac{24x^3 - 16x^2 + 20x}{4x} \), we can divide each term in the numerator by \( 4x \).

1. Divide \( 24x^3 \) by \( 4x \):
\[
\frac{24x^3}{4x} = 6x^2
\]

2. Divide \( -16x^2 \) by \( 4x \):
\[
\frac{-16x^2}{4x} = -4x
\]

3. Divide \( 20x \) by \( 4x \):
\[
\frac{20x}{4x} = 5
\]

Now we can combine all these results:
\[
\frac{24x^3 - 16x^2 + 20x}{4x} = 6x^2 - 4x + 5
\]

Thus, the answer is:
\[
\boxed{6x^2 - 4x + 5}
\]

So the correct option is **A. 6x² − 4x + 5**.