Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Chapter 6.6, Problem 26E
To determine

Tofind:The value of k for which the remainder is zero.

Expert Solution & Answer
Check Mark

Answer to Problem 26E

The value of k for which the remainder is zerois 5 .

Explanation of Solution

Given information:The expressionis (2x3+kx2−x−6)÷(x+2) .

Calculation:

Consider the fraction.

  (2x3+kx2−x−6)÷(x+2)

The expression f(−2) must be equal to zero.

  f(−2)=2(−2)3+k(−2)2−(−2)−60=−16+4k+2−6k=5

Thus, the value of k for which the remainder is zero is 5 .

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Chapter 6.6, Problem 25E
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Chapter 6.6, Problem 27E

Chapter 6 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 6.1 - Prob. 1CFUCh. 6.1 - Prob. 2CFUCh. 6.1 - Prob. 3CFUCh. 6.1 - Prob. 4CFUCh. 6.1 - Prob. 5CFUCh. 6.1 - Prob. 6CFUCh. 6.1 - Prob. 7CFUCh. 6.1 - Prob. 8CFUCh. 6.1 - Prob. 9CFUCh. 6.1 - Prob. 10CFU
Ch. 6.1 - Prob. 11CFUCh. 6.1 - Prob. 12CFUCh. 6.1 - Prob. 13CFUCh. 6.1 - Prob. 14CFUCh. 6.1 - Prob. 15CFUCh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Prob. 21ECh. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Prob. 36ECh. 6.1 - Prob. 37ECh. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Prob. 41ECh. 6.1 - Prob. 42ECh. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Prob. 48ECh. 6.1 - Prob. 49ECh. 6.1 - Prob. 50ECh. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - Prob. 53ECh. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 6.1 - Prob. 59ECh. 6.1 - Prob. 60ECh. 6.1 - Prob. 61ECh. 6.1 - Prob. 62ECh. 6.1 - Prob. 63ECh. 6.1 - Prob. 64ECh. 6.1 - Prob. 65ECh. 6.1 - Prob. 66ECh. 6.1 - Prob. 67ECh. 6.1 - Prob. 68ECh. 6.1 - Prob. 69ECh. 6.1 - Prob. 70ECh. 6.1 - Prob. 71ECh. 6.1 - Prob. 72ECh. 6.2 - Prob. 1CFUCh. 6.2 - Prob. 2CFUCh. 6.2 - Prob. 3CFUCh. 6.2 - Prob. 4CFUCh. 6.2 - Prob. 5CFUCh. 6.2 - Prob. 6CFUCh. 6.2 - Prob. 7CFUCh. 6.2 - Prob. 8CFUCh. 6.2 - Prob. 9CFUCh. 6.2 - Prob. 10CFUCh. 6.2 - Prob. 11CFUCh. 6.2 - Prob. 12CFUCh. 6.2 - Prob. 13ECh. 6.2 - Prob. 14ECh. 6.2 - Prob. 15ECh. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - Prob. 19ECh. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - Prob. 31ECh. 6.2 - Prob. 32ECh. 6.2 - Prob. 33ECh. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - Prob. 38ECh. 6.2 - Prob. 39ECh. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.2 - Prob. 44ECh. 6.2 - Prob. 45ECh. 6.2 - Prob. 46ECh. 6.2 - Prob. 47ECh. 6.2 - Prob. 48ECh. 6.2 - Prob. 49ECh. 6.2 - Prob. 50ECh. 6.2 - Prob. 51ECh. 6.3 - Prob. 1CFUCh. 6.3 - Prob. 2CFUCh. 6.3 - Prob. 3CFUCh. 6.3 - Prob. 4CFUCh. 6.3 - Prob. 5CFUCh. 6.3 - Prob. 6CFUCh. 6.3 - Prob. 7CFUCh. 6.3 - Prob. 8CFUCh. 6.3 - Prob. 9CFUCh. 6.3 - Prob. 10CFUCh. 6.3 - Prob. 11CFUCh. 6.3 - Prob. 12CFUCh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 6.3 - Prob. 21ECh. 6.3 - Prob. 22ECh. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Prob. 25ECh. 6.3 - Prob. 26ECh. 6.3 - Prob. 27ECh. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6.3 - Prob. 30ECh. 6.3 - Prob. 31ECh. 6.3 - Prob. 32ECh. 6.3 - Prob. 33ECh. 6.3 - Prob. 34ECh. 6.3 - Prob. 35ECh. 6.3 - Prob. 36ECh. 6.3 - Prob. 37ECh. 6.3 - Prob. 38ECh. 6.3 - Prob. 39ECh. 6.3 - Prob. 40ECh. 6.3 - Prob. 41ECh. 6.3 - Prob. 42ECh. 6.3 - Prob. 43ECh. 6.3 - Prob. 44ECh. 6.3 - Prob. 45ECh. 6.3 - Prob. 46ECh. 6.3 - Prob. 47ECh. 6.3 - Prob. 48ECh. 6.3 - Prob. 49ECh. 6.3 - Prob. 50ECh. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - Prob. 53ECh. 6.3 - Prob. 54ECh. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 6.3 - Prob. 57ECh. 6.3 - Prob. 58ECh. 6.3 - Prob. 59ECh. 6.3 - Prob. 60ECh. 6.3 - Prob. 61ECh. 6.3 - Prob. 62ECh. 6.3 - Prob. 63ECh. 6.3 - Prob. 64ECh. 6.3 - Prob. 65ECh. 6.3 - Prob. 66ECh. 6.4 - Prob. 1CFUCh. 6.4 - Prob. 2CFUCh. 6.4 - Prob. 3CFUCh. 6.4 - Prob. 4CFUCh. 6.4 - Prob. 5CFUCh. 6.4 - Prob. 6CFUCh. 6.4 - Prob. 7CFUCh. 6.4 - Prob. 8CFUCh. 6.4 - Prob. 9CFUCh. 6.4 - Prob. 10CFUCh. 6.4 - Prob. 11CFUCh. 6.4 - Prob. 12CFUCh. 6.4 - Prob. 13CFUCh. 6.4 - Prob. 14CFUCh. 6.4 - Prob. 15CFUCh. 6.4 - Prob. 16CFUCh. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Prob. 21ECh. 6.4 - Prob. 22ECh. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Prob. 28ECh. 6.4 - Prob. 29ECh. 6.4 - 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Prob. 10MCQCh. 6.5 - Prob. 1GCECh. 6.5 - Prob. 2GCECh. 6.5 - Prob. 3GCECh. 6.5 - Prob. 1CFUCh. 6.5 - Prob. 2CFUCh. 6.5 - Prob. 3CFUCh. 6.5 - Prob. 4CFUCh. 6.5 - Prob. 5CFUCh. 6.5 - Prob. 6CFUCh. 6.5 - Prob. 7CFUCh. 6.5 - Prob. 8CFUCh. 6.5 - Prob. 9CFUCh. 6.5 - Prob. 10CFUCh. 6.5 - Prob. 11CFUCh. 6.5 - Prob. 12CFUCh. 6.5 - Prob. 13CFUCh. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - Prob. 16ECh. 6.5 - Prob. 17ECh. 6.5 - Prob. 18ECh. 6.5 - Prob. 19ECh. 6.5 - Prob. 20ECh. 6.5 - Prob. 21ECh. 6.5 - Prob. 22ECh. 6.5 - Prob. 23ECh. 6.5 - Prob. 24ECh. 6.5 - Prob. 25ECh. 6.5 - Prob. 26ECh. 6.5 - Prob. 27ECh. 6.5 - Prob. 28ECh. 6.5 - Prob. 29ECh. 6.5 - Prob. 30ECh. 6.5 - Prob. 31ECh. 6.5 - Prob. 32ECh. 6.5 - Prob. 33ECh. 6.5 - Prob. 34ECh. 6.5 - Prob. 35ECh. 6.5 - Prob. 36ECh. 6.5 - Prob. 37ECh. 6.5 - Prob. 38ECh. 6.5 - Prob. 39ECh. 6.5 - Prob. 40ECh. 6.5 - Prob. 41ECh. 6.5 - Prob. 42ECh. 6.5 - Prob. 43ECh. 6.5 - Prob. 44ECh. 6.5 - Prob. 45ECh. 6.5 - Prob. 46ECh. 6.5 - Prob. 47ECh. 6.5 - Prob. 48ECh. 6.5 - Prob. 49ECh. 6.5 - Prob. 50ECh. 6.5 - Prob. 51ECh. 6.5 - Prob. 52ECh. 6.5 - Prob. 53ECh. 6.5 - Prob. 54ECh. 6.6 - Prob. 1CFUCh. 6.6 - Prob. 2CFUCh. 6.6 - Prob. 3CFUCh. 6.6 - Prob. 4CFUCh. 6.6 - Prob. 5CFUCh. 6.6 - Prob. 6CFUCh. 6.6 - Prob. 7ECh. 6.6 - Prob. 8ECh. 6.6 - Prob. 9ECh. 6.6 - Prob. 10ECh. 6.6 - Prob. 11ECh. 6.6 - Prob. 12ECh. 6.6 - Prob. 13ECh. 6.6 - Prob. 14ECh. 6.6 - Prob. 15ECh. 6.6 - Prob. 16ECh. 6.6 - Prob. 17ECh. 6.6 - Prob. 18ECh. 6.6 - Prob. 19ECh. 6.6 - Prob. 20ECh. 6.6 - Prob. 21ECh. 6.6 - Prob. 22ECh. 6.6 - Prob. 23ECh. 6.6 - Prob. 24ECh. 6.6 - Prob. 25ECh. 6.6 - Prob. 26ECh. 6.6 - Prob. 27ECh. 6.6 - Prob. 28ECh. 6.7 - Prob. 1CFUCh. 6.7 - Prob. 2CFUCh. 6.7 - Prob. 3CFUCh. 6.7 - Prob. 4CFUCh. 6.7 - Prob. 5CFUCh. 6.7 - Prob. 6CFUCh. 6.7 - Prob. 7CFUCh. 6.7 - Prob. 8CFUCh. 6.7 - Prob. 9CFUCh. 6.7 - Prob. 10CFUCh. 6.7 - Prob. 11CFUCh. 6.7 - Prob. 12CFUCh. 6.7 - Prob. 13ECh. 6.7 - Prob. 14ECh. 6.7 - Prob. 15ECh. 6.7 - Prob. 16ECh. 6.7 - Prob. 17ECh. 6.7 - Prob. 18ECh. 6.7 - Prob. 19ECh. 6.7 - Prob. 20ECh. 6.7 - Prob. 21ECh. 6.7 - Prob. 22ECh. 6.7 - Prob. 23ECh. 6.7 - Prob. 24ECh. 6.7 - Prob. 25ECh. 6.7 - Prob. 26ECh. 6.7 - Prob. 27ECh. 6.7 - Prob. 28ECh. 6.7 - Prob. 29ECh. 6.7 - Prob. 30ECh. 6.7 - Prob. 31ECh. 6.7 - Prob. 32ECh. 6.7 - Prob. 33ECh. 6.7 - Prob. 34ECh. 6.7 - Prob. 35ECh. 6.7 - Prob. 36ECh. 6.7 - Prob. 37ECh. 6.7 - Prob. 38ECh. 6.7 - Prob. 39ECh. 6.7 - Prob. 40ECh. 6.7 - Prob. 41ECh. 6.7 - Prob. 42ECh. 6.7 - Prob. 43ECh. 6.7 - Prob. 44ECh. 6.7 - Prob. 45ECh. 6.7 - Prob. 46ECh. 6.7 - Prob. 47ECh. 6.7 - Prob. 48ECh. 6.7 - Prob. 49ECh. 6.7 - Prob. 50ECh. 6.7 - Prob. 51ECh. 6.7 - Prob. 52ECh. 6.7 - Prob. 53ECh. 6.7 - Prob. 54ECh. 6.7 - Prob. 55ECh. 6.7 - Prob. 56ECh. 6.7 - Prob. 57ECh. 6.7 - Prob. 58ECh. 6.7 - Prob. 59ECh. 6.7B - Prob. 1GCECh. 6.7B - Prob. 2GCECh. 6.7B - Prob. 3GCECh. 6.7B - Prob. 4GCECh. 6.7B - Prob. 5GCECh. 6.7B - Prob. 6GCECh. 6.7B - Prob. 7GCECh. 6.7B - Prob. 8GCECh. 6.8 - Prob. 1CFUCh. 6.8 - Prob. 2CFUCh. 6.8 - Prob. 3CFUCh. 6.8 - Prob. 4CFUCh. 6.8 - Prob. 5CFUCh. 6.8 - Prob. 6CFUCh. 6.8 - Prob. 7CFUCh. 6.8 - Prob. 8CFUCh. 6.8 - Prob. 9CFUCh. 6.8 - Prob. 10CFUCh. 6.8 - Prob. 11CFUCh. 6.8 - Prob. 12CFUCh. 6.8 - Prob. 13CFUCh. 6.8 - Prob. 14ECh. 6.8 - Prob. 15ECh. 6.8 - Prob. 16ECh. 6.8 - Prob. 17ECh. 6.8 - Prob. 18ECh. 6.8 - Prob. 19ECh. 6.8 - Prob. 20ECh. 6.8 - Prob. 21ECh. 6.8 - Prob. 22ECh. 6.8 - Prob. 23ECh. 6.8 - Prob. 24ECh. 6.8 - Prob. 25ECh. 6.8 - Prob. 26ECh. 6.8 - Prob. 27ECh. 6.8 - Prob. 28ECh. 6.8 - Prob. 29ECh. 6.8 - Prob. 30ECh. 6.8 - Prob. 31ECh. 6.8 - Prob. 32ECh. 6.8 - Prob. 33ECh. 6.8 - Prob. 34ECh. 6.8 - Prob. 35ECh. 6.8 - Prob. 36ECh. 6.8 - Prob. 37ECh. 6.8 - Prob. 38ECh. 6.8 - Prob. 39ECh. 6.8 - Prob. 40ECh. 6.8 - Prob. 41ECh. 6.8 - Prob. 42ECh. 6.8 - Prob. 43ECh. 6.8 - Prob. 44ECh. 6.8 - Prob. 45ECh. 6.8 - Prob. 46ECh. 6.8 - Prob. 47ECh. 6.8 - Prob. 48ECh. 6.8 - Prob. 49ECh. 6.8 - Prob. 50ECh. 6.8 - Prob. 51ECh. 6.8 - Prob. 52ECh. 6.8 - Prob. 53ECh. 6.8 - Prob. 54ECh. 6 - Prob. 1SAPCh. 6 - Prob. 2SAPCh. 6 - Prob. 3SAPCh. 6 - Prob. 4SAPCh. 6 - Prob. 5SAPCh. 6 - Prob. 6SAPCh. 6 - Prob. 7SAPCh. 6 - Prob. 8SAPCh. 6 - Prob. 9SAPCh. 6 - Prob. 10SAPCh. 6 - Prob. 11SGACh. 6 - Prob. 12SGACh. 6 - Prob. 13SGACh. 6 - Prob. 14SGACh. 6 - Prob. 15SGACh. 6 - Prob. 16SGACh. 6 - Prob. 17SGACh. 6 - Prob. 18SGACh. 6 - Prob. 19SGACh. 6 - Prob. 20SGACh. 6 - Prob. 21SGACh. 6 - Prob. 22SGACh. 6 - Prob. 23SGACh. 6 - Prob. 24SGACh. 6 - Prob. 25SGACh. 6 - Prob. 26SGACh. 6 - Prob. 27SGACh. 6 - Prob. 28SGACh. 6 - Prob. 29SGACh. 6 - Prob. 30SGACh. 6 - Prob. 31SGACh. 6 - Prob. 32SGACh. 6 - Prob. 33SGACh. 6 - Prob. 34SGACh. 6 - Prob. 35SGACh. 6 - Prob. 36SGACh. 6 - Prob. 37SGACh. 6 - Prob. 38SGACh. 6 - Prob. 39SGACh. 6 - Prob. 40SGACh. 6 - Prob. 41SGACh. 6 - Prob. 42SGACh. 6 - Prob. 43SGACh. 6 - Prob. 44SGACh. 6 - Prob. 45SGACh. 6 - Prob. 46SGACh. 6 - Prob. 47SGACh. 6 - Prob. 48SGACh. 6 - Prob. 49SGACh. 6 - Prob. 50SGACh. 6 - Prob. 51SGACh. 6 - Prob. 1ASAPCh. 6 - Prob. 2ASAPCh. 6 - Prob. 3ASAPCh. 6 - Prob. 4ASAPCh. 6 - Prob. 5ASAPCh. 6 - Prob. 6ASAPCh. 6 - Prob. 7ASAPCh. 6 - Prob. 8ASAPCh. 6 - Prob. 9ASAPCh. 6 - Prob. 10ASAP

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