Chapter 0.5, Problem 30E

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7th Edition

Waner + 1 other

ISBN: 9781337291248

Textbook Problem

By any method, determine all possible real solutions of each equation in Exercises 13–30. Check your answers by substitution.

To determine

**To calculate:** The all real solutions in the polynomial equation

Explanation

**Given Information:**

The provided polynomial equation is

**Formula used:**

Zero product rule:

An equation

is true if and only if

or

The value of

in the equation

can be given by the quadratic formula,

where

and

are real numbers with

**Calculation:**

Consider the polynomial equation

First determine the single solution in this cubic equation

Compare the equation

with the standard cubic equation

and

Therefore, possible factor of

is

and

is

First try

substitute in the provided polynomial

This is true.

Therefore,

is a factor of the polynomial

In order to find other two values of

by

Sect-0.1 P-1ESect-0.1 P-2ESect-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-10E

Sect-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-0.2 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-0.2 P-56ESect-0.2 P-57ESect-0.2 P-58ESect-0.2 P-59ESect-0.2 P-60ESect-0.2 P-61ESect-0.2 P-62ESect-0.2 P-63ESect-0.2 P-64ESect-0.2 P-65ESect-0.2 P-66ESect-0.2 P-67ESect-0.2 P-68ESect-0.2 P-69ESect-0.2 P-70ESect-0.2 P-71ESect-0.2 P-72ESect-0.2 P-73ESect-0.2 P-74ESect-0.2 P-75ESect-0.2 P-76ESect-0.2 P-77ESect-0.2 P-78ESect-0.2 P-79ESect-0.2 P-80ESect-0.2 P-81ESect-0.2 P-82ESect-0.2 P-83ESect-0.2 P-84ESect-0.2 P-85ESect-0.2 P-86ESect-0.2 P-87ESect-0.2 P-88ESect-0.2 P-89ESect-0.2 P-90ESect-0.2 P-91ESect-0.2 P-92ESect-0.2 P-93ESect-0.2 P-94ESect-0.2 P-95ESect-0.2 P-96ESect-0.2 P-97ESect-0.2 P-98ESect-0.2 P-99ESect-0.2 P-100ESect-0.2 P-101ESect-0.2 P-102ESect-0.2 P-103ESect-0.2 P-104ESect-0.2 P-105ESect-0.2 P-106ESect-0.2 P-107ESect-0.2 P-108ESect-0.2 P-109ESect-0.2 P-110ESect-0.2 P-111ESect-0.2 P-112ESect-0.2 P-113ESect-0.2 P-114ESect-0.2 P-115ESect-0.2 P-116ESect-0.2 P-117ESect-0.2 P-118ESect-0.2 P-119ESect-0.2 P-120ESect-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-0.4 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-0.5 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-0.6 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-0.7 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-0.8 P-1ESect-0.8 P-2ESect-0.8 P-3ESect-0.8 P-4ESect-0.8 P-5ESect-0.8 P-6ESect-0.8 P-7ESect-0.8 P-8ESect-0.8 P-9ESect-0.8 P-10ESect-0.8 P-11ESect-0.8 P-12ESect-0.8 P-13ESect-0.8 P-14ESect-0.8 P-15ESect-0.8 P-16ESect-0.8 P-17ESect-0.8 P-18ESect-0.8 P-19ESect-0.8 P-20ESect-0.8 P-21ESect-0.8 P-22ESect-0.8 P-23ESect-0.8 P-24ESect-0.8 P-25ESect-0.8 P-26ESect-0.8 P-27ESect-0.8 P-28ESect-0.8 P-29ESect-0.8 P-30ESect-0.8 P-31ESect-0.8 P-32ESect-0.8 P-33ESect-0.8 P-34ESect-0.8 P-35ESect-0.8 P-36ESect-0.8 P-37ESect-0.8 P-38ESect-0.8 P-39ESect-0.8 P-40ESect-0.8 P-41ESect-0.8 P-42ESect-0.8 P-43ESect-0.8 P-44ESect-0.8 P-45ESect-0.8 P-46ESect-0.8 P-47ESect-0.8 P-48ESect-0.8 P-49ESect-0.8 P-50ESect-0.8 P-51ESect-0.8 P-52ESect-0.8 P-53ESect-0.8 P-54ESect-0.8 P-55ESect-0.8 P-56E

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