Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q30.

Expert-verified

Algebra 1

Found in: Page 514

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

The area of a rectangle shown is $x^{3} - 2 x^{2} + 5 x$ square units. What is the length?

The length of rectangle is $x^{2} - 2 x + 5$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. State the concept for area of rectangle.

The area of the rectangle is multiplication of the length and width.

The area of the rectangle is evaluated as:

$\begin{matrix} Area = length \times width \\ x^{3} - 2 x^{2} + 5 x = length \times x \end{matrix}$

Step 2. Write the factors and equate.

Now, factorizing the area of the polynomial:

$\begin{matrix} Area = x^{3} - 2 x^{2} + 5 x \\ = x (x^{2} - 2 x + 5) \\ length \times width = (x^{2} - 2 x + 5) . x \end{matrix}$

Step 3. Write the conclusion.

Comparing the length and width x:

The length of the rectangle is $x^{2} - 2 x + 5$ .

Most popular questions for Math Textbooks

Solve each equation. Check your solutions. $x^{2} + 5 x - 50 = 0$ .

Find the greatest common factor of each set of monomials.

$21 x y, 28 x^{2} y, 42 x y^{2}$

Factor each monomial completely. $- 13 x y^{3}$

Use the Distributive Property to factor each polynomial.

$14 x^{2} y - 21 x y + 35 x y^{2}$

Solve each equation. Check your solutions. $40 x^{2} + 2 x = 24$ .

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free