Question

Find each quotient.

$\left(2x^{\mathrm{2}}+10x\right)÷2x$

Short answer

$\mathit{x}\mathbf{+}\mathbf{5}$

Step-by-step solution

Step 1. Write as a fraction.

Write the given quotient as a fraction.

$\frac{2x^2+10x}{2x}$

Step 2. Divide.

Divide each term by $2x$.

$\frac{2x^2}{2x}+\frac{10x}{2x}$

Step 3. Divide common factors.

Divide out common factors from the above-obtained expression.

$\frac{2\cdot x\cdot x}{2\cdot x}+\frac{2\cdot 5\cdot x}{2\cdot x}=x+5$

The solution of the given quotient is $x+5$.