Question

The degree of the quotient when $6x^3+3x$ is divided by 3x is ___

Answer 1

First, factorize the dividend:
$6x^3+3x$ = $6\times x\times x\times x+3\times x=3\times x(2x^2+1)$
$\frac{6\left(x^3\right)+3x}{3x}$ = $\frac{3x\left(2\right(x^2)+1)}{3x}$
= $(2x^2+1)$
The degree of $2x^2+1$ is 2.