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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 11: Q15. (page 731)

Find each quotient.
$(4 x^{2} - 8 x + 5) \div (2 x + 1)$

Short Answer

Expert verified

$2 x - 5$

Step by step solution

Step 1. Write as a fraction.

Write the given quotient as a fraction.

$\frac{4 x^{2} - 8 x + 5}{2 x + 1}$

Step 2. Factor.

Factor the numerator of the given quotient.

$\frac{(2 x - 5) (2 x + 1)}{(2 x + 1)}$

Step 3. Divide common factors.

Divide out common factors from the above-obtained expression.

$2 x - 5$

The solution of the given quotient is $2 x - 5$ .

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Most popular questions from this chapter

Find each product or quotient.

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Determine whether each table or equation represents an inverse or a direct variation. Explain.

$x$	1	2	5
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$y = \frac{6}{x - 1}$

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$y = \frac{3}{2 x + 4}$

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Find each quotient.4x2−8x+5÷2x+1

Short Answer

Step by step solution

Step 1. Write as a fraction.

Step 2. Factor.

Step 3. Divide common factors.

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Find each quotient.
$(4 x^{2} - 8 x + 5) \div (2 x + 1)$