Divide 36x3 − 96x2 + 48x by 12x.

Question

3x2 − 8x + 4
3x2 + 8x − 4
3x3 − 8x + 4
3x3 + 8x − 4

Answer 1

To divide the polynomial \(36x^3 - 96x^2 + 48x\) by \(12x\), you can perform the division term by term:

1. Divide the first term: \[ \frac{36x^3}{12x} = 3x^2 \]

2. Divide the second term: \[ \frac{-96x^2}{12x} = -8x \]

3. Divide the third term: \[ \frac{48x}{12x} = 4 \]

Now, combine the results from each division: \[ 3x^2 - 8x + 4 \]

Thus, the result of dividing \(36x^3 - 96x^2 + 48x\) by \(12x\) is: \[ \boxed{3x^2 - 8x + 4} \]