Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Concept explainers

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

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Question

Chapter 10.3, Problem 59E

To determine

To find: The remainder for the quotient (x4−4x3−2x2−1)÷(x−5) , using the Remainder Theorem. Then state whether the binomial is a factor of the polynomial.

Expert Solution & Answer

Answer to Problem 59E

x3+x2+3x+15+74x−5

Binomial is not a factor of polynomial

Explanation of Solution

Given information: (x4−4x3−2x2−1)÷(x−5)

Calculation:

Using synthetic division you get:

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 10.3, Problem 59E

x3+x2+3x+15+74x−5

Since the remainder is NOT 0, then

(x−5) is NOT a factor of x4−4x3−2x2−1 .

Chapter 10.3, Problem 58E

Chapter 10.3, Problem 60E

Chapter 10 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 10.1 - Prob. 1CFU Ch. 10.1 - Prob. 2CFU Ch. 10.1 - Prob. 3CFU Ch. 10.1 - Prob. 4CFU Ch. 10.1 - Prob. 5CFU Ch. 10.1 - Prob. 6CFU Ch. 10.1 - Prob. 7CFU Ch. 10.1 - Prob. 8CFU Ch. 10.1 - Prob. 9CFU Ch. 10.1 - Prob. 10CFU

Ch. 10.1 - Prob. 11CFU Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.1 - Prob. 42E Ch. 10.1 - Prob. 43E Ch. 10.1 - Prob. 44E Ch. 10.2 - Prob. 1CFU Ch. 10.2 - Prob. 2CFU Ch. 10.2 - Prob. 3CFU Ch. 10.2 - Prob. 4CFU Ch. 10.2 - Prob. 5CFU Ch. 10.2 - Prob. 6CFU Ch. 10.2 - Prob. 7CFU Ch. 10.2 - Prob. 8CFU Ch. 10.2 - Prob. 9CFU Ch. 10.2 - Prob. 10CFU Ch. 10.2 - Prob. 11CFU Ch. 10.2 - Prob. 12CFU Ch. 10.2 - Prob. 13CFU Ch. 10.2 - 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Prob. 52E Ch. 10.6 - Prob. 53E Ch. 10.6 - Prob. 54E Ch. 10.6 - Prob. 55E Ch. 10.6 - Prob. 56E Ch. 10.7 - Prob. 1CFU Ch. 10.7 - Prob. 2CFU Ch. 10.7 - Prob. 3CFU Ch. 10.7 - Prob. 4CFU Ch. 10.7 - Prob. 5CFU Ch. 10.7 - Prob. 6CFU Ch. 10.7 - Prob. 7CFU Ch. 10.7 - Prob. 8CFU Ch. 10.7 - Prob. 9CFU Ch. 10.7 - Prob. 10CFU Ch. 10.7 - Prob. 11CFU Ch. 10.7 - Prob. 12CFU Ch. 10.7 - Prob. 13E Ch. 10.7 - Prob. 14E Ch. 10.7 - Prob. 15E Ch. 10.7 - Prob. 16E Ch. 10.7 - Prob. 17E Ch. 10.7 - Prob. 18E Ch. 10.7 - Prob. 19E Ch. 10.7 - Prob. 20E Ch. 10.7 - Prob. 21E Ch. 10.7 - Prob. 22E Ch. 10.7 - Prob. 23E Ch. 10.7 - Prob. 24E Ch. 10.7 - Prob. 25E Ch. 10.7 - Prob. 26E Ch. 10.7 - Prob. 27E Ch. 10.7 - Prob. 28E Ch. 10.7 - Prob. 29E Ch. 10.7 - Prob. 30E Ch. 10.7 - Prob. 31E Ch. 10.7 - Prob. 32E Ch. 10.7 - Prob. 33E Ch. 10.7 - Prob. 34E Ch. 10.7 - Prob. 35E Ch. 10.7 - Prob. 36E Ch. 10.7 - Prob. 37E Ch. 10.7 - Prob. 38E Ch. 10.7 - Prob. 39E Ch. 10.7 - Prob. 40E Ch. 10.7 - Prob. 41E Ch. 10.7 - Prob. 42E Ch. 10.7 - 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The remainder for the quotient ( x 4 − 4 x 3 − 2 x 2 − 1 ) ÷ ( x − 5 ) , using the Remainder Theorem. Then state whether the binomial is a factor of the polynomial.

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To find: The remainder for the quotient (x4−4x3−2x2−1)÷(x−5) , using the Remainder Theorem. Then state whether the binomial is a factor of the polynomial.

Answer to Problem 59E

Explanation of Solution

Chapter 10 Solutions

Additional Math Textbook Solutions