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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 11: Q14. (page 731)

Find each quotient.
$(2 x^{2} + 10 x) \div 2 x$

Short Answer

Expert verified

$x + 5$

Step by step solution

Step 1. Write as a fraction.

Write the given quotient as a fraction.

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

Step 2. Divide.

Divide each term by $2 x$ .

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

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 $x + 5$ .

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Find each quotient.2x2+10x÷2x

Short Answer

Step by step solution

Step 1. Write as a fraction.

Step 2. Divide.

Step 3. Divide common factors.

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Find each quotient.
$(2 x^{2} + 10 x) \div 2 x$