Question

divide.
\frac{6x^{11} + 8x^7}{2x^3}

Explanation:

Step1: Split the fraction

We can split the numerator into two separate fractions over the same denominator: $\frac{6x^{11}}{2x^{3}} + \frac{8x^{7}}{2x^{3}}$

Step2: Simplify each fraction

For the first fraction, divide the coefficients and subtract the exponents of $x$: $\frac{6}{2}x^{11 - 3} = 3x^{8}$
For the second fraction, divide the coefficients and subtract the exponents of $x$: $\frac{8}{2}x^{7 - 3} = 4x^{4}$

Step3: Combine the results

Combine the simplified fractions: $3x^{8} + 4x^{4}$

Answer:

$3x^{8} + 4x^{4}$