Pearson eText for Precalculus: Concepts...4th EditionMichael Sullivan, Michael Sullivan Publisher: PEARSON+ISBN: 9780137399635
Pearson eText for Precalculus: Concepts...
Solutions for Pearson eText for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry -- Instant Access (Pearson+)
Problem 1AYU:
Find if.
Problem 2AYU:
2. Factor the expression 6 x 2 +x-2Problem 4AYU:
Find the zeros of f(x)=x2+x3.Problem 5AYU:
5. f( x )=q(x)g( x )+r(x) , the function r( x ) is called the ______ . (a) remainder(b) dividend(c)...Problem 7AYU:
7. Given f( x )=3 x 4 -2 x 3 +7x-2 , how many sign changes are there in the coefficients of f( x ) ?...Problem 8AYU:
8. True or False Every polynomial function of degree 3 with real coefficients has exactly three real...Problem 10AYU:
10. True or False If f is a polynomial function of degree 4 and if f( 2 )=5 , then f( x ) x-2 =p( x...Problem 11AYU:
In Problems 11-20, use the Remainder Theorem to find the remainder when f(x) is divided by . Then...Problem 12AYU:
In Problems 11-20, use the Remainder Theorem to find the remainder when f(x) is divided by . Then...Problem 13AYU:
In problem 11-20, use the Remainder Theorem to find the remainder when f(x) is divided by xc. Then...Problem 14AYU:
In Problems 11-20, use the Remainder Theorem to find the remainder when f(x) is divided by . Then...Problem 15AYU:
In problems 11-20, use the Remainder Theorem to find the remainder when f(x) is divided by xc. Then...Problem 16AYU:
In Problems 11-20, use the Remainder Theorem to find the remainder when f(x) is divided by . Then...Problem 17AYU:
In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c ....Problem 18AYU:
In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c ....Problem 19AYU:
In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c ....Problem 20AYU:
In Problems 11-20, use the Remainder Theorem to find the remainder when f(x) is divided by . Then...Problem 21AYU:
In Problems 21-32, use Descartes' Rule of Signs to determine how many positive and how many negative...Problem 22AYU:
In Problems 21-32, use Descartes' Rule of Signs to determine how many positive and how many negative...Problem 23AYU:
In problems 21-32, tell the maximum number of real zeros that each polynomial function may have....Problem 24AYU:
In Problems 21-32, use Descartes' Rule of Signs to determine how many positive and how many negative...Problem 25AYU:
In problems 21-32, tell the maximum number of real zeros that each polynomial function may have....Problem 26AYU:
In Problems 21-32, use Descartes' Rule of Signs to determine how many positive and how many negative...Problem 27AYU:
In Problems 21-32, use Descartes' Rule of Signs to determine how many positive and how many negative...Problem 28AYU:
In Problems 21-32, use Descartes' Rule of Signs to determine how many positive and how many negative...Problem 29AYU:
In Problems 21-32, use Descartes' Rule of Signs to determine how many positive and how many negative...Problem 30AYU:
In Problems 21-32, use Descartes' Rule of Signs to determine how many positive and how many negative...Problem 31AYU:
In Problems 21-32, use Descartes' Rule of Signs to determine how many positive and how many negative...Problem 32AYU:
In Problems 21-32, use Descartes' Rule of Signs to determine how many positive and how many negative...Problem 33AYU:
In Problems 33-44, determine the maximum number of real zeros that each polynomial function may...Problem 34AYU:
In Problems 33-44, determine the maximum number of real zeros that each polynomial function may...Problem 35AYU:
In problems 33-44, list the potential rational zeros of each polynomial function. Do not attempt to...Problem 36AYU:
In Problems 33-44, determine the maximum number of real zeros that each polynomial function may...Problem 37AYU:
In problems 33-44, list the potential rational zeros of each polynomial function. Do not attempt to...Problem 38AYU:
In Problems 33-44, determine the maximum number of real zeros that each polynomial function may...Problem 39AYU:
In Problems 33-44, determine the maximum number of real zeros that each polynomial function may...Problem 40AYU:
In Problems 33-44, determine the maximum number of real zeros that each polynomial function may...Problem 41AYU:
In Problems 33-44, determine the maximum number of real zeros that each polynomial function may...Problem 42AYU:
In Problems 33-44, determine the maximum number of real zeros that each polynomial function may...Problem 43AYU:
In Problems 33-44, determine the maximum number of real zeros that each polynomial function may...Problem 44AYU:
In Problems 33-44, determine the maximum number of real zeros that each polynomial function may...Problem 45AYU:
In Problems 51-68, find the real zeros of f. Use the real zeros to factor f 51. f( x )= x 3 +2 x 2...Problem 46AYU:
In Problems 51-68, find the real zeros of f. Use the real zeros to factor f 52. f( x )= x 3 +8 x 2...Problem 47AYU:
In Problems 4556, use the Rational Zeros Theorem to find all the real zeros of each polynomial...Problem 48AYU:
In Problems 4556, use the Rational Zeros Theorem to find all the real zeros of each polynomial...Problem 49AYU:
In Problems 4556, use the Rational Zeros Theorem to find all the real zeros of each polynomial...Problem 50AYU:
In Problems 4556, use the Rational Zeros Theorem to find all the real zeros of each polynomial...Problem 51AYU:
In Problems 4556, use the Rational Zeros Theorem to find all the real zeros of each polynomial...Problem 52AYU:
In Problems 4556, use the Rational Zeros Theorem to find all the real zeros of each polynomial...Problem 53AYU:
In Problems 51-68, find the real zeros of f. Use the real zeros to factor f 59. f( x )= x 4 + x 3 -3...Problem 54AYU:
In Problems 51-68, find the real zeros of f. Use the real zeros to factor f 60. f( x )= x 4 - x 3 -6...Problem 55AYU:
In Problems 4556, use the Rational Zeros Theorem to find all the real zeros of each polynomial...Problem 56AYU:
In Problems 4556, use the Rational Zeros Theorem to find all the real zeros of each polynomial...Problem 57AYU:
In Problems 75-84, find the real solutions of each equation. x 4 - x 3 +2 x 2 -4x-8=0Problem 63AYU:
In Problems 75-84, find the real solutions of each equation. x 4 +4 x 3 +2 x 2 -x+6=0Problem 64AYU:
In Problems 75-84, find the real solutions of each equation. x 4 -2 x 3 +10 x 2 -18x+9=0Problem 65AYU:
In Problems 75-84, find the real solutions of each equation. x 3 - 2 3 x 2 + 8 3 x+1=0Problem 67AYU:
In Problems 5768, solve each equation in the real number system. 2x419x3+57x264x+20=0Problem 69AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=x43x24Problem 70AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=x45x236Problem 71AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=x4+x3x1Problem 72AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=x4x3+x1Problem 73AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=3x4+3x3x212x12Problem 74AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=3x43x35x2+27x36Problem 75AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=4x5x4+2x32x2+x1Problem 76AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=4x5+x4+x3+x22x2Problem 77AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=x4+3x34x22x+9Problem 78AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=4x5+5x3+9x2+3x12Problem 79AYU:
In Problems 85-90, use the Intermediate Value Theorem to show that each function has a zero in the...Problem 80AYU:
In Problems 85-90, use the Intermediate Value Theorem to show that each function has a zero in the...Problem 81AYU:
In Problems 85-90, use the Intermediate Value Theorem to show that each function has a zero in the...Problem 82AYU:
In Problems 85-90, use the Intermediate Value Theorem to show that each function has a zero in the...Problem 83AYU:
In Problems 85-90, use the Intermediate Value Theorem to show that each function has a zero in the...Problem 84AYU:
In Problems 85-90, use the Intermediate Value Theorem to show that each function has a zero in the...Problem 85AYU:
In Problems 8588, each equation has a solution r in the interval indicated. Use the method of...Problem 86AYU:
In Problems 8588, each equation has a solution r in the interval indicated. Use the method of...Problem 87AYU:
In Problems 8588, each equation has a solution r in the interval indicated. Use the method of...Problem 88AYU:
In Problems 8588, each equation has a solution r in the interval indicated. Use the method of...Problem 89AYU:
In Problems 8992, each polynomial function has exactly one positive real zero. Use the method of...Problem 90AYU:
In Problems 8992, each polynomial function has exactly one positive real zero. Use the method of...Problem 91AYU:
In Problems 8992, each polynomial function has exactly one positive real zero. Use the method of...Problem 92AYU:
In Problems 8992, each polynomial function has exactly one positive real zero. Use the method of...Problem 93AYU:
In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section...Problem 94AYU:
In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section...Problem 101AYU:
In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section...Problem 102AYU:
In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section...Problem 103AYU:
In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section...Problem 104AYU:
In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section...Problem 105AYU:
Suppose that f(x)=3x3+16x2+3x10. Find the zeros of f(x+3).Problem 106AYU:
Suppose that f(x)=4x311x226x+24. Find the zeros of f(x2).Problem 107AYU:
Find k such that f( x )= x 3 k x 2 +kx+2 has the factor x2 .Problem 108AYU:
100. Find k such that has the factor .
Problem 111AYU:
Use the Factor Theorem to prove that xc is a factor of x n c n for any positive integer n .Problem 112AYU:
Use the Factor Theorem to prove that x+c is a factor of x n + c n if n1 is an odd integer.Problem 115AYU:
Geometry What is the length of the edge of a cube if, after a slice 1-inch thick is cut from one...Problem 116AYU:
108. Geometry What is the length of the edge of a cube if its volume could be doubled by an increase...Problem 117AYU:
109. Let be a polynomial function whose coefficients are integers. Suppose that r is a real zero of...Problem 118AYU:
118. Prove the Rational Zeros Theorem
[Hint: Let, where p and q have no common factors except 1...Problem 119AYU:
111. Bisection Method for Approximating Zeros of a Function f We begin with two consecutive...Problem 120AYU:
Is 1 3 a zero of f( x )=2 x 3 +3 x 2 6x+7 ? Explain.Problem 121AYU:
113. Is a zero of ? Explain.
Problem 122AYU:
114. Is a zero of ? Explain.
Problem 123AYU:
Is 2 3 a zero of f( x )= x 7 +6 x 5 x 4 +x+2 ? Explain?Problem 126AYU:
Problems 124 127 are based on material learned earlier in the course. The purpose of these problems...Problem 125AYU:
117. Write in the form .
Browse All Chapters of This Textbook
Chapter F - Foundations: A Prelude To FunctionsChapter F.1 - The Distance And Midpoint FormulasChapter F.2 - Graphs Of Equations In Two Variables; Intercepts; SymmetryChapter F.3 - LinesChapter F.4 - CirclesChapter 1 - Functions And Their GraphsChapter 1.1 - FunctionsChapter 1.2 - The Graph Of A FunctionChapter 1.3 - Properties Of FunctionsChapter 1.4 - Library Of Functions; Piecewise-defined Functions
Chapter 1.5 - Graphing Techniques: TransformationsChapter 1.6 - Mathematical Models: Building FunctionsChapter 1.7 - Building Mathematical Models Using VariationChapter 2 - Linear And Quadratic FunctionsChapter 2.1 - Properties Of Linear Functions And Linear ModelsChapter 2.2 - Building Linear Models From DataChapter 2.3 - Quadratic Functions And Their ZerosChapter 2.4 - Properties Of Quadratic FunctionsChapter 2.5 - Inequalities Involving Quadratic FunctionsChapter 2.6 - Building Quadratic Models From Verbal Descriptions And From DataChapter 2.7 - Complex Zeros Of A Quadratic FunctionChapter 2.8 - Equations And Inequalities Involving The Absolute Value FunctionChapter 3 - Polynomial And Rational FunctionsChapter 3.1 - Polynomial Functions And ModelsChapter 3.2 - The Real Zeros Of A Polynomial FunctionChapter 3.3 - Complex Zeros; Fundamental Theorem Of AlgebraChapter 3.4 - Properties Of Rational FunctionsChapter 3.5 - The Graph Of A Rational FunctionChapter 3.6 - Polynomial And Rational InequalitiesChapter 4 - Exponential And Logarithmic FunctionsChapter 4.1 - Composite FunctionsChapter 4.2 - One-to-one Functions; Inverse FunctionsChapter 4.3 - Exponential FunctionsChapter 4.4 - Logarithmic FunctionsChapter 4.5 - Properties Of LogarithmsChapter 4.6 - Logarithmic And Exponential EquationsChapter 4.7 - Financial ModelsChapter 4.8 - Exponential Growth And Decay Models; Newton’s Law; Logistic Growth And Decay ModelsChapter 4.9 - Building Exponential, Logarithmic, And Logistic Models From DataChapter 5 - Trigonometric FunctionsChapter 5.1 - Angles And Their MeasureChapter 5.2 - Trigonometric Functions: Unit Circle ApproachChapter 5.3 - Properties Of The Trigonometric FunctionsChapter 5.4 - Graphs Of The Sine And Cosine FunctionsChapter 5.5 - Graphs Of The Tangent, Cotangent, Cosecant, And Secant FunctionsChapter 5.6 - Phase Shift; Sinusoidal Curve FittingChapter 6 - Analytic TrigonometryChapter 6.1 - The Inverse Sine, Cosine, And Tangent FunctionsChapter 6.2 - The Inverse Trigonometric Functions (continued)Chapter 6.3 - Trigonometric EquationsChapter 6.4 - Trigonometric IdentitiesChapter 6.5 - Sum And Difference FormulasChapter 6.6 - Double-angle And Half-angle FormulasChapter 6.7 - Product-to-sum And Sum-to-product FormulasChapter 7 - Applications Of Trigonometric FunctionsChapter 7.1 - Right Triangle Trigonometry; ApplicationsChapter 7.2 - The Law Of SinesChapter 7.3 - The Law Of CosinesChapter 7.4 - Area Of A TriangleChapter 7.5 - Simple Harmonic Motion; Damped Motion; Combining WavesChapter 8 - Polar Coordinates; VectorsChapter 8.1 - Polar CoordinatesChapter 8.2 - Polar Equations And GraphsChapter 8.3 - The Complex Plane; De Moivre’s TheoremChapter 8.4 - VectorsChapter 8.5 - The Dot ProductChapter 8.6 - Vectors In SpaceChapter 8.7 - The Cross ProductChapter 9 - Analytic GeometryChapter 9.2 - The ParabolaChapter 9.3 - The EllipseChapter 9.4 - The HyperbolaChapter 9.5 - Rotation Of Axes; General Form Of A ConicChapter 9.6 - Polar Equations Of ConicsChapter 9.7 - Plane Curves And Parametric EquationsChapter 10 - Systems Of Equations And InequalitiesChapter 10.1 - Systems Of Linear Equations: Substitution And EliminationChapter 10.2 - Systems Of Linear Equations: MatricesChapter 10.3 - Systems Of Linear Equations: DeterminantsChapter 10.4 - Matrix AlgebraChapter 10.5 - Partial Fraction DecompositionChapter 10.6 - Systems Of Nonlinear EquationsChapter 10.7 - Systems Of InequalitiesChapter 10.8 - Linear ProgrammingChapter 11 - Sequences; Induction; The Binomial TheoremChapter 11.1 - SequencesChapter 11.2 - Arithmetic SequencesChapter 11.3 - Geometric Sequences; Geometric SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 12 - Counting And ProbabilityChapter 12.1 - CountingChapter 12.2 - Permutations And CombinationsChapter 12.3 - ProbabilityChapter 13 - A Preview Of Calculus: The Limit, Derivative, And Integral Of A FunctionChapter 13.1 - Finding Limits Using Tables And GraphsChapter 13.2 - Algebra Techniques For Finding LimitsChapter 13.3 - One-sided Limits; Continuous FunctionsChapter 13.4 - The Tangent Problem; The DerivativeChapter 13.5 - The Area Problem; The IntegralChapter A.1 - Algebra EssentialsChapter A.2 - Geometry EssentialsChapter A.3 - PolynomialsChapter A.4 - Factoring PolynomialsChapter A.5 - Synthetic DivisionChapter A.6 - Rational ExpressionsChapter A.7 - Nth Roots; Rational ExponentsChapter A.8 - Solving EquationsChapter A.9 - Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsChapter A.10 - Interval Notation; Solving InequalitiesChapter A.11 - Complex NumbersChapter B.1 - The Viewing RectangleChapter B.2 - Using A Graphing Utility To Graph EquationsChapter B.3 - Using A Graphing Utility To Locate Intercepts And Check For SymmetryChapter B.5 - Square Screens
Sample Solutions for this Textbook
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Chapter F, Problem 1CPChapter 1, Problem 1REChapter 2, Problem 1REChapter 3, Problem 1REChapter 4, Problem 1REChapter 5, Problem 1REChapter 6, Problem 1REChapter 7, Problem 1REChapter 8, Problem 1RE
Chapter 9, Problem 1REGiven information: The system, {2x−y=5 5x+2y=8 Explanation: To solve the system equations by using...Chapter 11, Problem 1REGiven: The set {Dave, Joanne, Erica}. Calculation: The set {Dave, Joanne, Erica}. Subsets = ∅, {...Chapter 13, Problem 1REGiven Information: The given rational number {−3,0,2,65,π}. Explanation: Integers are the set of...
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