Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340



Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

Use the following factorization formulas involving cubes to factor each expression in Problems 49-56.

Factorizations with cubes
Perfect cube a 3 + 3 a 2 b + 3 a b 2 + b 3 = ( a + b ) 3 Perfect cube a 3 3 a 2 b + 3 a b 2 b 3 = ( a b ) 3 Difference of two cubes a 3 b 3 = ( a b ) ( a 2 + a b + b 2 ) Sum of two cubes a 3 + b 3 = ( a + b ) ( a 2 a b + b 2 )

x 3 + 6 x 2 + 12 x + 8

To determine

To calculate: The factored form of the expression x3+6x2+12x+8 by using the factorization formulas involving cubes.


Given Information:

The given expression is x3+6x2+12x+8.

Formula used:

Perfect cube:



The given polynomial x3+6x2+12x+8

is of degree 3

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
Sect-0.1 P-3ESect-0.1 P-4ESect-0.1 P-5ESect-0.1 P-6ESect-0.1 P-7ESect-0.1 P-8ESect-0.1 P-9ESect-0.1 P-10ESect-0.1 P-11ESect-0.1 P-12ESect-0.1 P-13ESect-0.1 P-14ESect-0.1 P-15ESect-0.1 P-16ESect-0.1 P-17ESect-0.1 P-18ESect-0.1 P-19ESect-0.1 P-20ESect-0.1 P-21ESect-0.1 P-22ESect-0.1 P-23ESect-0.1 P-24ESect-0.1 P-25ESect-0.1 P-26ESect-0.1 P-27ESect-0.1 P-28ESect-0.1 P-29ESect-0.1 P-30ESect-0.1 P-31ESect-0.1 P-32ESect-0.1 P-33ESect-0.1 P-34ESect-0.1 P-35ESect-0.1 P-36ESect-0.1 P-37ESect-0.1 P-38ESect-0.1 P-39ESect-0.1 P-40ESect-0.1 P-41ESect-0.1 P-42ESect-0.1 P-43ESect-0.1 P-44ESect-0.1 P-45ESect-0.1 P-46ESect-0.1 P-47ESect-0.1 P-48ESect-0.1 P-49ESect-0.1 P-50ESect-0.1 P-51ESect-0.1 P-52ESect-0.1 P-53ESect-0.1 P-54ESect-0.1 P-55ESect-0.2 P-1CPSect-0.2 P-2CPSect-0.2 P-3CPSect-0.2 P-4CPSect-0.2 P-5CPSect-0.2 P-6CPSect-0.2 P-1ESect-0.2 P-2ESect-0.2 P-3ESect-0.2 P-4ESect-0.2 P-5ESect-0.2 P-6ESect-0.2 P-7ESect-0.2 P-8ESect-0.2 P-9ESect-0.2 P-10ESect-0.2 P-11ESect-0.2 P-12ESect-0.2 P-13ESect-0.2 P-14ESect-0.2 P-15ESect-0.2 P-16ESect-0.2 P-17ESect-0.2 P-18ESect-0.2 P-19ESect-0.2 P-20ESect-0.2 P-21ESect-0.2 P-22ESect-0.2 P-23ESect-0.2 P-24ESect-0.2 P-25ESect-0.2 P-26ESect-0.2 P-27ESect-0.2 P-28ESect-0.2 P-29ESect-0.2 P-30ESect-0.2 P-31ESect-0.2 P-32ESect-0.2 P-33ESect-0.2 P-34ESect-0.2 P-35ESect-0.2 P-36ESect-0.2 P-37ESect-0.2 P-38ESect-0.2 P-39ESect-0.2 P-40ESect-0.2 P-41ESect-0.2 P-42ESect-0.2 P-43ESect-0.2 P-44ESect-0.2 P-45ESect-0.2 P-46ESect-0.2 P-47ESect-0.2 P-48ESect-0.2 P-49ESect-0.2 P-50ESect-0.2 P-51ESect-0.2 P-52ESect-0.2 P-53ESect-0.2 P-54ESect-0.2 P-55ESect-0.3 P-1CPSect-0.3 P-2CPSect-0.3 P-3CPSect-0.3 P-1ESect-0.3 P-2ESect-0.3 P-3ESect-0.3 P-4ESect-0.3 P-5ESect-0.3 P-6ESect-0.3 P-7ESect-0.3 P-8ESect-0.3 P-9ESect-0.3 P-10ESect-0.3 P-11ESect-0.3 P-12ESect-0.3 P-13ESect-0.3 P-14ESect-0.3 P-15ESect-0.3 P-16ESect-0.3 P-17ESect-0.3 P-18ESect-0.3 P-19ESect-0.3 P-20ESect-0.3 P-21ESect-0.3 P-22ESect-0.3 P-23ESect-0.3 P-24ESect-0.3 P-25ESect-0.3 P-26ESect-0.3 P-27ESect-0.3 P-28ESect-0.3 P-29ESect-0.3 P-30ESect-0.3 P-31ESect-0.3 P-32ESect-0.3 P-33ESect-0.3 P-34ESect-0.3 P-35ESect-0.3 P-36ESect-0.3 P-37ESect-0.3 P-38ESect-0.3 P-39ESect-0.3 P-40ESect-0.3 P-41ESect-0.3 P-42ESect-0.3 P-43ESect-0.3 P-44ESect-0.3 P-45ESect-0.3 P-46ESect-0.3 P-47ESect-0.3 P-48ESect-0.3 P-49ESect-0.3 P-50ESect-0.3 P-51ESect-0.3 P-52ESect-0.3 P-53ESect-0.3 P-54ESect-0.3 P-55ESect-0.3 P-56ESect-0.3 P-57ESect-0.3 P-58ESect-0.3 P-59ESect-0.3 P-60ESect-0.3 P-61ESect-0.3 P-62ESect-0.3 P-63ESect-0.3 P-64ESect-0.3 P-65ESect-0.3 P-66ESect-0.3 P-67ESect-0.4 P-1CPSect-0.4 P-2CPSect-0.4 P-3CPSect-0.4 P-4CPSect-0.4 P-5CPSect-0.4 P-6CPSect-0.4 P-7CPSect-0.4 P-1ESect-0.4 P-2ESect-0.4 P-3ESect-0.4 P-4ESect-0.4 P-5ESect-0.4 P-6ESect-0.4 P-7ESect-0.4 P-8ESect-0.4 P-9ESect-0.4 P-10ESect-0.4 P-11ESect-0.4 P-12ESect-0.4 P-13ESect-0.4 P-14ESect-0.4 P-15ESect-0.4 P-16ESect-0.4 P-17ESect-0.4 P-18ESect-0.4 P-19ESect-0.4 P-20ESect-0.4 P-21ESect-0.4 P-22ESect-0.4 P-23ESect-0.4 P-24ESect-0.4 P-25ESect-0.4 P-26ESect-0.4 P-27ESect-0.4 P-28ESect-0.4 P-29ESect-0.4 P-30ESect-0.4 P-31ESect-0.4 P-32ESect-0.4 P-33ESect-0.4 P-34ESect-0.4 P-35ESect-0.4 P-36ESect-0.4 P-37ESect-0.4 P-38ESect-0.4 P-39ESect-0.4 P-40ESect-0.4 P-41ESect-0.4 P-42ESect-0.4 P-43ESect-0.4 P-44ESect-0.4 P-45ESect-0.4 P-46ESect-0.4 P-47ESect-0.4 P-48ESect-0.4 P-49ESect-0.4 P-50ESect-0.4 P-51ESect-0.4 P-52ESect-0.4 P-53ESect-0.4 P-54ESect-0.4 P-55ESect-0.4 P-56ESect-0.4 P-57ESect-0.4 P-58ESect-0.4 P-59ESect-0.4 P-60ESect-0.4 P-61ESect-0.4 P-62ESect-0.4 P-63ESect-0.4 P-64ESect-0.4 P-65ESect-0.4 P-66ESect-0.4 P-67ESect-0.4 P-68ESect-0.4 P-69ESect-0.4 P-70ESect-0.4 P-71ESect-0.4 P-72ESect-0.4 P-73ESect-0.5 P-1CPSect-0.5 P-2CPSect-0.5 P-3CPSect-0.5 P-1ESect-0.5 P-2ESect-0.5 P-3ESect-0.5 P-4ESect-0.5 P-5ESect-0.5 P-6ESect-0.5 P-7ESect-0.5 P-8ESect-0.5 P-9ESect-0.5 P-10ESect-0.5 P-11ESect-0.5 P-12ESect-0.5 P-13ESect-0.5 P-14ESect-0.5 P-15ESect-0.5 P-16ESect-0.5 P-17ESect-0.5 P-18ESect-0.5 P-19ESect-0.5 P-20ESect-0.5 P-21ESect-0.5 P-22ESect-0.5 P-23ESect-0.5 P-24ESect-0.5 P-25ESect-0.5 P-26ESect-0.5 P-27ESect-0.5 P-28ESect-0.5 P-29ESect-0.5 P-30ESect-0.5 P-31ESect-0.5 P-32ESect-0.5 P-33ESect-0.5 P-34ESect-0.5 P-35ESect-0.5 P-36ESect-0.5 P-37ESect-0.5 P-38ESect-0.5 P-39ESect-0.5 P-40ESect-0.5 P-41ESect-0.5 P-42ESect-0.5 P-43ESect-0.5 P-44ESect-0.5 P-45ESect-0.5 P-46ESect-0.5 P-47ESect-0.5 P-48ESect-0.5 P-49ESect-0.5 P-50ESect-0.5 P-51ESect-0.5 P-52ESect-0.5 P-53ESect-0.5 P-54ESect-0.5 P-55ESect-0.5 P-56ESect-0.5 P-57ESect-0.5 P-58ESect-0.5 P-59ESect-0.5 P-60ESect-0.5 P-61ESect-0.5 P-62ESect-0.5 P-63ESect-0.5 P-64ESect-0.5 P-65ESect-0.5 P-66ESect-0.5 P-67ESect-0.5 P-68ESect-0.5 P-69ESect-0.5 P-70ESect-0.5 P-71ESect-0.5 P-72ESect-0.5 P-73ESect-0.5 P-74ESect-0.5 P-75ESect-0.6 P-1CPSect-0.6 P-2CPSect-0.6 P-3CPSect-0.6 P-1ESect-0.6 P-2ESect-0.6 P-3ESect-0.6 P-4ESect-0.6 P-5ESect-0.6 P-6ESect-0.6 P-7ESect-0.6 P-8ESect-0.6 P-9ESect-0.6 P-10ESect-0.6 P-11ESect-0.6 P-12ESect-0.6 P-13ESect-0.6 P-14ESect-0.6 P-15ESect-0.6 P-16ESect-0.6 P-17ESect-0.6 P-18ESect-0.6 P-19ESect-0.6 P-20ESect-0.6 P-21ESect-0.6 P-22ESect-0.6 P-23ESect-0.6 P-24ESect-0.6 P-25ESect-0.6 P-26ESect-0.6 P-27ESect-0.6 P-28ESect-0.6 P-29ESect-0.6 P-30ESect-0.6 P-31ESect-0.6 P-32ESect-0.6 P-33ESect-0.6 P-34ESect-0.6 P-35ESect-0.6 P-36ESect-0.6 P-37ESect-0.6 P-38ESect-0.6 P-39ESect-0.6 P-40ESect-0.6 P-41ESect-0.6 P-42ESect-0.6 P-43ESect-0.6 P-44ESect-0.6 P-45ESect-0.6 P-46ESect-0.6 P-47ESect-0.6 P-48ESect-0.6 P-49ESect-0.6 P-50ESect-0.6 P-51ESect-0.6 P-52ESect-0.6 P-53ESect-0.6 P-54ESect-0.6 P-55ESect-0.6 P-56ESect-0.6 P-57ESect-0.6 P-58ESect-0.6 P-59ESect-0.6 P-60ESect-0.6 P-61ESect-0.6 P-62ESect-0.6 P-63ESect-0.6 P-64ESect-0.7 P-1CPSect-0.7 P-2CPSect-0.7 P-3CPSect-0.7 P-4CPSect-0.7 P-5CPSect-0.7 P-6CPSect-0.7 P-1ESect-0.7 P-2ESect-0.7 P-3ESect-0.7 P-4ESect-0.7 P-5ESect-0.7 P-6ESect-0.7 P-7ESect-0.7 P-8ESect-0.7 P-9ESect-0.7 P-10ESect-0.7 P-11ESect-0.7 P-12ESect-0.7 P-13ESect-0.7 P-14ESect-0.7 P-15ESect-0.7 P-16ESect-0.7 P-17ESect-0.7 P-18ESect-0.7 P-19ESect-0.7 P-20ESect-0.7 P-21ESect-0.7 P-22ESect-0.7 P-23ESect-0.7 P-24ESect-0.7 P-25ESect-0.7 P-26ESect-0.7 P-27ESect-0.7 P-28ESect-0.7 P-29ESect-0.7 P-30ESect-0.7 P-31ESect-0.7 P-32ESect-0.7 P-33ESect-0.7 P-34ESect-0.7 P-35ESect-0.7 P-36ESect-0.7 P-37ESect-0.7 P-38ESect-0.7 P-39ESect-0.7 P-40ESect-0.7 P-41ESect-0.7 P-42ESect-0.7 P-43ESect-0.7 P-44ESect-0.7 P-45ESect-0.7 P-46ESect-0.7 P-47ESect-0.7 P-48ESect-0.7 P-49ESect-0.7 P-50ESect-0.7 P-51ESect-0.7 P-52ESect-0.7 P-53ESect-0.7 P-54ESect-0.7 P-55ESect-0.7 P-56ESect-0.7 P-57ESect-0.7 P-58ECh-0 P-1RECh-0 P-2RECh-0 P-3RECh-0 P-4RECh-0 P-5RECh-0 P-6RECh-0 P-7RECh-0 P-8RECh-0 P-9RECh-0 P-10RECh-0 P-11RECh-0 P-12RECh-0 P-13RECh-0 P-14RECh-0 P-15RECh-0 P-16RECh-0 P-17RECh-0 P-18RECh-0 P-19RECh-0 P-20RECh-0 P-21RECh-0 P-22RECh-0 P-23RECh-0 P-24RECh-0 P-25RECh-0 P-26RECh-0 P-27RECh-0 P-28RECh-0 P-29RECh-0 P-30RECh-0 P-31RECh-0 P-32RECh-0 P-33RECh-0 P-34RECh-0 P-35RECh-0 P-36RECh-0 P-37RECh-0 P-38RECh-0 P-39RECh-0 P-40RECh-0 P-41RECh-0 P-42RECh-0 P-43RECh-0 P-44RECh-0 P-45RECh-0 P-46RECh-0 P-47RECh-0 P-48RECh-0 P-49RECh-0 P-50RECh-0 P-51RECh-0 P-52RECh-0 P-53RECh-0 P-54RECh-0 P-55RECh-0 P-56RECh-0 P-57RECh-0 P-58RECh-0 P-59RECh-0 P-60RECh-0 P-61RECh-0 P-62RECh-0 P-63RECh-0 P-64RECh-0 P-65RECh-0 P-66RECh-0 P-67RECh-0 P-68RECh-0 P-69RECh-0 P-70RECh-0 P-71RECh-0 P-72RECh-0 P-73RECh-0 P-74RECh-0 P-75RECh-0 P-76RECh-0 P-77RECh-0 P-78RECh-0 P-79RECh-0 P-80RECh-0 P-81RECh-0 P-82RECh-0 P-83RECh-0 P-84RECh-0 P-85RECh-0 P-86RECh-0 P-87RECh-0 P-88RECh-0 P-89RECh-0 P-90RECh-0 P-91RECh-0 P-92RECh-0 P-93RECh-0 P-94RECh-0 P-95RECh-0 P-96RECh-0 P-97RECh-0 P-98RECh-0 P-99RECh-0 P-1TCh-0 P-2TCh-0 P-3TCh-0 P-4TCh-0 P-5TCh-0 P-6TCh-0 P-7TCh-0 P-8TCh-0 P-9TCh-0 P-10TCh-0 P-11TCh-0 P-12TCh-0 P-13TCh-0 P-14TCh-0 P-15TCh-0 P-1EAGP1Ch-0 P-2EAGP1Ch-0 P-3EAGP1Ch-0 P-4EAGP1

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

In Exercises 107-120, factor each expression completely. 120. x3 27

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

In Exercises 19-21, use implicit differentiation to find dy/dx. 4x23y2+x3y=5

Calculus: An Applied Approach (MindTap Course List)

List the first 10 terms of the Fibonacci sequence.

Mathematical Excursions (MindTap Course List)

In Exercise 1320, plot the point on a set of coordinate axes. (2,5)

Finite Mathematics for the Managerial, Life, and Social Sciences

Let f(x)={2x2forx13forx1. Which limit does not exist? a) limx3f(x) b) limx1+f(x) c) limx1f(x) d) limx1f(x)

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th