Graphical Approach To College Algebra
7th Edition
ISBN: 9780134696522
Author: HORNSBY, John, Lial, Margaret L., Rockswold, Gary K.
Publisher: Pearson Education, Inc.,
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Chapter 4.4, Problem 4E
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To find: All the real solutions.
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4. Solve the system of equations and express your solution using vectors.
2x1 +5x2+x3 + 3x4 = 9
-x2+x3 + x4 = 1
-x1-6x2+3x3 + 2x4
= -1
3. Simplify the matrix expression
A(A-B) - (A+B)B-2(A - B)2 + (A + B) 2
[2 pts] 1. Let A =
[.
1 -1 0
-343
and B =
05
5 -7
304
Compute (7A - 3B) - 4(2A - B).
Chapter 4 Solutions
Graphical Approach To College Algebra
Ch. 4.1 - CONCEPT CHECK Use the polynomial function graphs,...Ch. 4.1 - CONCEPT CHECK Use the polynomial function graphs,...Ch. 4.1 - CONCEPT CHECK Use the polynomial function graphs,...Ch. 4.1 - CONCEPT CHECK Use the polynomial function graphs,...Ch. 4.1 - CONCEPT CHECK Use the polynomial function graphs,...Ch. 4.1 - CONCEPT CHECK Use the polynomial function graphs,...Ch. 4.1 - CONCEPT CHECK Use the polynomial function graphs,...Ch. 4.1 - CONCEPT CHECK Use the polynomial function graphs,...Ch. 4.1 - Use an end behavior diagram , , , or to describe...Ch. 4.1 - Use an end behavior diagram , , , or to describe...
Ch. 4.1 - Use an end behavior diagram , , , or to describe...Ch. 4.1 - Use an end behavior diagram , , , or to describe...Ch. 4.1 - Use an end behavior diagram , , , or to describe...Ch. 4.1 - Use an end behavior diagram , , , or to describe...Ch. 4.1 - Use an end behavior diagram , , , or to describe...Ch. 4.1 - Use an end behavior diagram , , , or to describe...Ch. 4.1 - Use an end behavior diagram , , , or to describe...Ch. 4.1 - Use an end behavior diagram , , , or to describe...Ch. 4.1 - Use an end behavior diagram , , , or to describe...Ch. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Without using a calculator, match each function in...Ch. 4.1 - Prob. 34ECh. 4.1 - Without using a calculator, match each function in...Ch. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - CONCEPT CHECK The graphs below show
but not...Ch. 4.1 - Prob. 46ECh. 4.1 - CONCEPT CHECK The graphs below show
y = x3 − 3x2 −...Ch. 4.1 - Prob. 48ECh. 4.1 - CONCEPT CHECK The graphs below show
but not...Ch. 4.1 - Prob. 50ECh. 4.1 - CONCEPT CHECK The graphs below show
y = x3 − 3x2 −...Ch. 4.1 - Prob. 52ECh. 4.1 - CONCEPT CHECK The graphs below show
y = x3 − 3x2 −...Ch. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - Prob. 65ECh. 4.1 - Prob. 66ECh. 4.1 - Prob. 67ECh. 4.1 - Prob. 68ECh. 4.1 - Prob. 69ECh. 4.1 - Prob. 70ECh. 4.1 - Prob. 71ECh. 4.1 - Prob. 72ECh. 4.1 - Prob. 73ECh. 4.1 - Prob. 74ECh. 4.2 - CHECKING ANALYTIC SKILLS Simplify each rational...Ch. 4.2 - CHECKING ANALYTIC SKILLS Simplify each rational...Ch. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - CHECKING ANALYTIC SKILLS Simplify each rational...Ch. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Use the intermediate value theorem to show that...Ch. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Use the intermediate value theorem to show that...Ch. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Use the intermediate value theorem to show that...Ch. 4.2 - Prob. 18ECh. 4.2 - CONCEPT CHECK Suppose that a polynomial function P...Ch. 4.2 - Prob. 20ECh. 4.2 - Find each quotient when P(x) is divided by the...Ch. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - Find each quotient when P(x) is divided by the...Ch. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Find each quotient when P(x) is divided by the...Ch. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Use synthetic substitution to find P(k).
k = 3;...Ch. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Use synthetic substitution to find P(k).
k = 2;...Ch. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Use synthetic substitution to find P(k).
; P(x) =...Ch. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Use synthetic substitution to determine whether...Ch. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Use synthetic substitution to determine whether...Ch. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Use synthetic substitution to determine whether...Ch. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Prob. 59ECh. 4.2 - Prob. 60ECh. 4.2 - For each polynomial at least one zero is given....Ch. 4.2 - Prob. 62ECh. 4.2 - For each polynomial at least one zero is given....Ch. 4.2 - Prob. 64ECh. 4.2 - For each polynomial at least one zero is given....Ch. 4.2 - For each polynomial at least one zero is given....Ch. 4.2 - Prob. 67ECh. 4.2 - Prob. 68ECh. 4.2 - For each polynomial at least one zero is given....Ch. 4.2 - Prob. 70ECh. 4.2 - Prob. 71ECh. 4.2 - Prob. 72ECh. 4.2 - Factor P(x) into linear factors given that k is a...Ch. 4.2 - Prob. 74ECh. 4.2 - Prob. 75ECh. 4.2 - Prob. 76ECh. 4.2 - Factor P(x) into linear factors given that k is a...Ch. 4.2 - Prob. 78ECh. 4.2 - Prob. 79ECh. 4.2 - Prob. 80ECh. 4.2 - Divide.
Ch. 4.2 - Prob. 82ECh. 4.2 - Divide.
Ch. 4.2 - Prob. 84ECh. 4.2 - Divide.
Ch. 4.2 - Prob. 86ECh. 4.2 - Prob. 87ECh. 4.2 - Prob. 88ECh. 4.2 - Prob. 89ECh. 4.2 - Prob. 90ECh. 4.2 - Prob. 91ECh. 4.2 - Prob. 92ECh. 4.2 - Prob. 1RBCCh. 4.2 - Prob. 2RBCCh. 4.2 - Prob. 3RBCCh. 4.2 - Prob. 4RBCCh. 4.2 - Prob. 5RBCCh. 4.2 - Prob. 6RBCCh. 4.2 - Prob. 7RBCCh. 4.2 - Prob. 8RBCCh. 4.2 - Prob. 9RBCCh. 4.2 - Prob. 10RBCCh. 4.3 - CHECKING ANALYTIC SKILLS Find a cubic polynomial...Ch. 4.3 - Prob. 2ECh. 4.3 - CHECKING ANALYTIC SKILLS Find a cubic polynomial...Ch. 4.3 - Prob. 4ECh. 4.3 - CHECKING ANALYTIC SKILLS Find a cubic polynomial...Ch. 4.3 - CHECKING ANALYTIC SKILLS Find a cubic polynomial...Ch. 4.3 - CHECKING ANALYTIC SKILLS Find a polynomial...Ch. 4.3 - Prob. 8ECh. 4.3 - CHECKING ANALYTIC SKILLS Find a polynomial...Ch. 4.3 - Prob. 10ECh. 4.3 - CHECKING ANALYTIC SKILLS Find a polynomial...Ch. 4.3 - Prob. 12ECh. 4.3 - One or more zeros are given for each polynomial....Ch. 4.3 - Prob. 14ECh. 4.3 - One or more zeros are given for each polynomial....Ch. 4.3 - Prob. 16ECh. 4.3 - One or more zeros are given for each polynomial....Ch. 4.3 - Prob. 18ECh. 4.3 - Find a polynomial function P(x) having leading...Ch. 4.3 - Prob. 20ECh. 4.3 - Find a polynomial function P(x) having leading...Ch. 4.3 - Prob. 22ECh. 4.3 - Find a polynomial function P(x) having leading...Ch. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Find a polynomial function P(x) having leading...Ch. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Prob. 30ECh. 4.3 - Sketch by hand the graph of each function. (You...Ch. 4.3 - Prob. 32ECh. 4.3 - Sketch by hand the graph of each function. (You...Ch. 4.3 - Prob. 34ECh. 4.3 - Sketch by hand the graph of each function. (You...Ch. 4.3 - Prob. 36ECh. 4.3 - Sketch by hand the graph of each function. (You...Ch. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - Prob. 40ECh. 4.3 - CONCEPT CHECK Use the graphs in Exercises 41–46 to...Ch. 4.3 - CONCEPT CHECK Use the graphs in Exercises 41–46 to...Ch. 4.3 - CONCEPT CHECK Use the graphs in Exercises 41–46 to...Ch. 4.3 - Prob. 44ECh. 4.3 - CONCEPT CHECK Use the graphs in Exercises 41–46 to...Ch. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Prob. 52ECh. 4.3 - For each polynomial function, (a) list all...Ch. 4.3 - Prob. 54ECh. 4.3 - For each polynomial function, (a) list all...Ch. 4.3 - Prob. 56ECh. 4.3 - For each polynomial function, (a) list all...Ch. 4.3 - Prob. 58ECh. 4.3 - Prob. 59ECh. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Prob. 65ECh. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - Prob. 72ECh. 4.3 - Prob. 73ECh. 4.3 - Prob. 74ECh. 4.3 - Prob. 75ECh. 4.3 - Prob. 76ECh. 4.3 - Prob. 77ECh. 4.3 - Prob. 78ECh. 4.3 - Prob. 79ECh. 4.3 - Prob. 80ECh. 4.3 - Prob. 81ECh. 4.3 - Prob. 82ECh. 4.3 - Prob. 83ECh. 4.3 - Prob. 84ECh. 4.3 - Prob. 85ECh. 4.3 - Prob. 86ECh. 4.3 - Prob. 87ECh. 4.3 - Prob. 88ECh. 4.3 - Prob. 89ECh. 4.3 - Prob. 90ECh. 4.3 - Prob. 91ECh. 4.3 - Prob. 92ECh. 4.3 - RELATING CONCEPTS For individual or group...Ch. 4.3 - Prob. 94ECh. 4.3 - Prob. 95ECh. 4.3 - do the following in order.
Use Descartes’ rule of...Ch. 4.3 - Prob. 97ECh. 4.3 - Prob. 98ECh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - CHECKING ANALYTIC SKILLS Find all real solutions....Ch. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - CHECKING ANALYTIC SKILLS Find all complex...Ch. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - CHECKING ANALYTIC SKILLS Find all complex...Ch. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Solve each equation analytically for all complex...Ch. 4.4 - Solve each equation analytically for all complex...Ch. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Prob. 28ECh. 4.4 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Graph each polynomial function by hand, as shown...Ch. 4.4 - Prob. 38ECh. 4.4 - Graph each polynomial function by hand, as shown...Ch. 4.4 - Prob. 40ECh. 4.4 - Graph each polynomial function by hand, as shown...Ch. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Find all n complex solutions of each equation of...Ch. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Find all n complex solutions of each equation of...Ch. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Find all n complex solutions of each equation of...Ch. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - Prob. 67ECh. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Prob. 73ECh. 4.4 - Prob. 74ECh. 4.4 - Prob. 75ECh. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Prob. 78ECh. 4.4 - Prob. 1RBCCh. 4.4 - Prob. 2RBCCh. 4.4 - Prob. 3RBCCh. 4.4 - Prob. 4RBCCh. 4.4 - Prob. 5RBCCh. 4.4 - Prob. 6RBCCh. 4.4 - Prob. 7RBCCh. 4.4 - Prob. 8RBCCh. 4 - Prob. 1RECh. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Give the solution set of each inequality, using...Ch. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - Prob. 56RECh. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Consider the function
Use a calculator to give a...Ch. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - Prob. 8TCh. 4 - Prob. 9TCh. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14T
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- 20 2. Let A = = [ -2 0 1 3 ] and B = 2 3 -1 2 For each of the following, calculate the product or indicate why it is undefined: (a) AB (b) BAarrow_forwardAnswer the number questions with the following answers +/- 2 sqrt(2) +/- i sqrt(6) (-3 +/-3 i sqrt(3))/4 +/-1 +/- sqrt(6) +/- 2/3 sqrt(3) 4 -3 +/- 3 i sqrt(3)arrow_forward1 Matching 10 points Factor and Solve 1)x3-216 0, x = {6,[B]} 2) 16x3 = 54 x-[3/2,[D]] 3)x4x2-42 0 x= [ +/-isqrt(7), [F] } 4)x+3-13-9x x=[+/-1.[H]] 5)x38x2+16x=0, x = {0,[K}} 6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3)) 7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}} 8) 5x³-3x²+32x=2x+18 x = {3/5, [S]} [B] [D] [F] [H] [K] [M] [Q] +/-2 sqrt(2) +/- i sqrt(6) (-3+/-3 i sqrt(3))/4 +/- 1 +/-sqrt(6) +/- 2/3 sqrt(3) 4 -3 +/- 3 i sqrt(3) [S]arrow_forward
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