Question

divide.
$\frac{32x^{6} + 12x^{5} - 8x^{3}}{4x^{3}}$
simplify your answer as much as possible.

Explanation:

Step1: Split fraction into terms

$\frac{32x^6}{4x^3} + \frac{12x^5}{4x^3} - \frac{8x^3}{4x^3}$

Step2: Simplify coefficients and exponents

For each term: divide coefficients, subtract exponents of $x$
$\frac{32}{4}x^{6-3} + \frac{12}{4}x^{5-3} - \frac{8}{4}x^{3-3}$

Step3: Compute each simplified term

$8x^3 + 3x^2 - 2x^0$

Step4: Simplify $x^0$ (equals 1)

$8x^3 + 3x^2 - 2(1)$

Answer:

$8x^3 + 3x^2 - 2$