Precalculus - 11th Edition - by Michael Sullivan - ISBN 9780135189405

Precalculus
11th Edition
Michael Sullivan
Publisher: PEARSON
ISBN: 9780135189405

Solutions for Precalculus

Problem 1AYU:
1. Find f( 1 ) if f( x )=2 x 2 x
Problem 2AYU:
2. Factor the expression 6 x 2 +x-2
Problem 3AYU:
3. Find the quotient and remainder if 3 x 4 -5 x 3 +7x4 is divided by x3 . (pp. A25-A27 or A31-A34)
Problem 4AYU:
4. Solve x 2 =3-x .
Problem 5AYU:
5. f( x )=q(x)g( x )+r(x) , the function r( x ) is called the ______ . (a) remainder(b) dividend(c)...
Problem 6AYU:
6. When a polynomial function f is divided by x-c , the remainder is _______ .
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 9AYU:
9. If f is a polynomial function and x4 is a factor of f, then f( 4 )= _______.
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 x-c ....
Problem 12AYU:
In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c ....
Problem 13AYU:
In Problems , use the Remainder Theorem to find the remainder when is divided by . Then use the...
Problem 14AYU:
In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c ....
Problem 15AYU:
In Problems , use the Remainder Theorem to find the remainder when is divided by . Then use the...
Problem 16AYU:
In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c ....
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 x-c ....
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, determine the maximum number of real zeros that each polynomial function may have. Then...
Problem 24AYU:
In Problems 21-32, use Descartes' Rule of Signs to determine how many positive and how many negative...
Problem 25AYU:
In Problems 2132, determine 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 3344, 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 3344, 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, use the Rational Zeros Theorem to find all the real zeros of each polynomial function....
Problem 52AYU:
In Problems, use the Rational Zeros Theorem to find all the real zeros of each polynomial function....
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=0
Problem 58AYU:
In Problems 75-84, find the real solutions of each equation. 2 x 3 +3 x 2 +2x+3=0
Problem 59AYU:
In Problems 75-84, find the real solutions of each equation. 3 x 3 +4 x 2 -7x+2=0
Problem 60AYU:
In Problems 75-84, find the real solutions of each equation. 2 x 3 -3 x 2 -3x-5=0
Problem 61AYU:
In Problems 75-84, find the real solutions of each equation. 3 x 3 - x 2 -15x+5=0
Problem 62AYU:
In Problems 75-84, find the real solutions of each equation. 2 x 3 -11 x 2 +10x+8=0
Problem 63AYU:
In Problems 75-84, find the real solutions of each equation. x 4 +4 x 3 +2 x 2 -x+6=0
Problem 64AYU:
In Problems 75-84, find the real solutions of each equation. x 4 -2 x 3 +10 x 2 -18x+9=0
Problem 65AYU:
In Problems 75-84, find the real solutions of each equation. x 3 - 2 3 x 2 + 8 3 x+1=0
Problem 66AYU:
In Problems 75-84, find the real solutions of each equation. x 3 - 2 3 x 2 +3x-2=0
Problem 67AYU:
In Problems 5768, solve each equation in the real number system. 2x419x3+57x264x+20=0
Problem 68AYU
Problem 69AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=x43x24
Problem 70AYU:
In Problems, find bounds on the real zeros of each polynomial function. 70.
Problem 71AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=x4+x3x1
Problem 72AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=x4x3+x1
Problem 73AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=3x4+3x3x212x12
Problem 74AYU:
In Problems 6978, find bounds on the real zeros of each polynomial function. f(x)=3x43x35x2+27x36
Problem 75AYU:
In Problems, find bounds on the real zeros of each polynomial function. 75.
Problem 76AYU:
In Problems, find bounds on the real zeros of each polynomial function. 76.
Problem 77AYU:
In Problems, find bounds on the real zeros of each polynomial function. 77.
Problem 78AYU:
In Problems, find bounds on the real zeros of each polynomial function. 78.
Problem 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, each equation has a solution in the interval indicated. Use the method of Example to...
Problem 86AYU:
In Problems, each equation has a solution in the interval indicated. Use the method of Example to...
Problem 87AYU:
In Problems 8588, each equation has a solution r in the interval indicated. Use the method of...
Problem 88AYU:
In Problems, each equation has a solution in the interval indicated. Use the method of Example to...
Problem 89AYU:
In Problems 8992, each polynomial function has exactly one positive real zero. Use the method of...
Problem 90AYU:
In Problems, each polynomial function has exactly one positive real zero. Use the method of Example...
Problem 91AYU:
In Problems, each polynomial function has exactly one positive real zero. Use the method of Example...
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 95AYU:
Mixed Practice In Problems 93104, grapheach polynomial function. f(x)=2x3x2+2x1
Problem 96AYU:
Mixed Practice In Problems 93104, grapheach polynomial function. f(x)=2x3+x2+2x+1
Problem 97AYU:
Mixed Practice In Problems, graph each polynomial function. 97.
Problem 98AYU:
Mixed Practice In Problems 93104, grapheach polynomial function. f(x)=x43x24
Problem 99AYU:
Mixed Practice In Problems 93104, grapheach polynomial function. f(x)=4x4+7x22
Problem 100AYU:
Mixed Practice In Problems 93104, grapheach polynomial function. f(x)=4x4+15x24
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:
105. Suppose that. Find the zeros of.
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:
Find k such that f( x )= x 4 k x 3 +k x 2 +1 has the factor x+2 .
Problem 109AYU:
What is the remainder when f( x )=2 x 20 8 x 10 +x2 is divided by x1 ?
Problem 110AYU
Problem 111AYU
Problem 112AYU
Problem 113AYU
Problem 114AYU:
One solution of the equation x 3 +5 x 2 +5x2=0 is 2 . Find the sum of the remaining solutions.
Problem 115AYU
Problem 116AYU
Problem 117AYU
Problem 118AYU
Problem 119AYU
Problem 120AYU
Problem 121AYU:
121. Challenge Problem Use the Intermediate Value Theorem A to show that the functions and intersect...
Problem 122AYU
Problem 123AYU
Problem 124AYU
Problem 125AYU
Problem 126AYU
Problem 127AYU
Problem 128AYU
Problem 129AYU
Problem 130AYU
Problem 131AYU
Problem 132AYU
Problem 133AYU
Problem 134AYU
Problem 135AYU

Browse All Chapters of This Textbook

Chapter 1 - GraphsChapter 1.1 - The Distance And Midpoint FormulasChapter 1.2 - Graphs Of Equations In Two Variables; Intercepts; SymmetryChapter 1.3 - LinesChapter 1.4 - CirclesChapter 2 - Functions And Their GraphsChapter 2.1 - FunctionsChapter 2.2 - The Graph Of A FunctionChapter 2.3 - Properties Of FunctionsChapter 2.4 - Library Of Functions; Piecewise-defined Functions
Chapter 2.5 - Graphing Techniques: TransformationsChapter 2.6 - Mathematical Models: Building FunctionsChapter 3 - Linear And Quadratic FunctionsChapter 3.1 - Properties Of Linear Functions And Linear ModelsChapter 3.2 - Building Linear Models From DataChapter 3.3 - Quadratic Functions And Their PropertiesChapter 3.4 - Build Quadratic Models From Verbal Descriptions And From DataChapter 3.5 - Inequalities Involving Quadratic FunctionsChapter 4 - Polynomial And Rational FunctionsChapter 4.1 - Polynomial FunctionsChapter 4.2 - Graphing Polynomial Functions; ModelsChapter 4.3 - Properties Of Rational FunctionsChapter 4.4 - The Graph Of A Rational FunctionChapter 4.5 - Polynomial And Rational InequalitiesChapter 4.6 - The Real Zeros Of A Polynomial FunctionChapter 4.7 - Complex Zeros: Fundamental Theorem Of AlgebraChapter 5 - Exponential And Logarithmic FunctionsChapter 5.1 - Composite FunctionsChapter 5.2 - One-to-one Functions; Inverse FunctionsChapter 5.3 - Exponential FunctionsChapter 5.4 - Logarithmic FunctionsChapter 5.5 - Properties Of LogarithmsChapter 5.6 - Logarithmic And Exponential EquationsChapter 5.7 - Financial ModelsChapter 5.8 - Exponential Growth And Decay Models; Newton’s Law; Logistic Growth And Decay ModelsChapter 5.9 - Building Exponential, Logarithmic, And Logistic Models From DataChapter 6 - Trigonometric FunctionsChapter 6.1 - Angles, Arc Length, And Circular MotionChapter 6.2 - Trigonometric Functions: Unit Circle ApproachChapter 6.3 - Properties Of The Trigonometric FunctionsChapter 6.4 - Graphs Of The Sine And Cosine FunctionsChapter 6.5 - Graphs Of The Tangent, Cotangent, Cosecant, And Secant FunctionsChapter 6.6 - Phase Shift; Sinusoidal Curve FittingChapter 7 - Analytic TrigonometryChapter 7.1 - The Inverse Sine, Cosine, And Tangent FunctionsChapter 7.2 - The Inverse Trigonometric Functions (continued)Chapter 7.3 - Trigonometric EquationsChapter 7.4 - Trigonometric IdentitiesChapter 7.5 - Sum And Difference FormulasChapter 7.6 - Double-angle And Half-angle FormulasChapter 7.7 - Product-to-sum And Sum-to-product FormulasChapter 8 - Applications Of Trigonometric FunctionsChapter 8.1 - Right Triangle Trigonometry; ApplicationsChapter 8.2 - The Law Of SinesChapter 8.3 - The Law Of CosinesChapter 8.4 - Area Of A TriangleChapter 8.5 - Simple Harmonic Motion; Damped Motion; Combining WavesChapter 9 - Polar Coordinates; VectorsChapter 9.1 - Polar CoordinatesChapter 9.2 - Polar Equations And GraphsChapter 9.3 - The Complex Plane; De Moivre’s TheoremChapter 9.4 - VectorsChapter 9.5 - The Dot ProductChapter 9.6 - Vectors In SpaceChapter 9.7 - The Cross ProductChapter 10 - Analytic GeometryChapter 10.2 - The ParabolaChapter 10.3 - The EllipseChapter 10.4 - The HyperbolaChapter 10.5 - Rotation Of Axes; General Form Of A ConicChapter 10.6 - Polar Equations Of ConicsChapter 10.7 - Plane Curves And Parametric EquationsChapter 11 - Systems Of Equations And InequalitiesChapter 11.1 - Systems Of Linear Equations: Substitution And EliminationChapter 11.2 - Systems Of Linear Equations: MatricesChapter 11.3 - Systems Of Linear Equations: DeterminantsChapter 11.4 - Matrix AlgebraChapter 11.5 - Partial Fraction DecompositionChapter 11.6 - Systems Of Nonlinear EquationsChapter 11.7 - Systems Of InequalitiesChapter 11.8 - Linear ProgrammingChapter 12 - Sequences; Induction; The Binomial TheoremChapter 12.1 - SequencesChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric Sequences; Geometric SeriesChapter 12.4 - Mathematical InductionChapter 12.5 - The Binomial TheoremChapter 13 - Counting And ProbabilityChapter 13.1 - CountingChapter 13.2 - Permutations And CombinationsChapter 13.3 - ProbabilityChapter 14 - A Preview Of Calculus: The Limit, Derivative, And Integral Of A FunctionChapter 14.1 - Investigating Limits Using Tables And GraphsChapter 14.2 - Algebra Techniques For Finding LimitsChapter 14.3 - One-sided Limits; ContinuityChapter 14.4 - The Tangent Problem; The DerivativeChapter 14.5 - The Area Problem; The IntegralChapter A.1 - Algebra EssentialsChapter A.2 - Geometry EssentialsChapter A.3 - PolynomialsChapter A.4 - Synthetic DivisionChapter A.5 - Rational ExpressionsChapter A.6 - Solving EquationsChapter A.7 - Complex Numbers; Quadratic Equations In The Complex Number SystemChapter A.8 - Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsChapter A.9 - Interval Notation; Solving InequalitiesChapter A.10 - Nth Roots; Rational ExponentsChapter 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

We offer sample solutions for Precalculus homework problems. See examples below:

Chapter 1, Problem 1REChapter 2, Problem 1REChapter 3, Problem 1REChapter 4, Problem 1REChapter 5, Problem 1REChapter 6, Problem 1REChapter 7, Problem 1REChapter 8, Problem 1REChapter 9, Problem 1RE
Chapter 10, Problem 1REChapter 11, Problem 1REChapter 12, Problem 1REGiven: The set {Dave, Joanne, Erica}. Calculation: The set {Dave, Joanne, Erica}. Subsets = ∅, {...Chapter 14, Problem 1RE

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