Solutions for MAT 171 ACCESS CODE
Problem 1SP:
Use long division to divide 4x323x+32x5.Problem 2SP:
Use long division to divide. 17x+5x23x3+2x4x2+3Problem 3SP:
Use long division to divide. 3x214x+15x3Problem 4SP:
Use synthetic division to divide. 4x328x7x3Problem 5SP:
Use synthetic division to divide. 3x+7x3+5+2x4x+1Problem 7SP:
Use the remainder theorem to determine if the given number, c, is a zero of the function....Problem 8SP:
Use the factor theorem to determine if the given polynomials are factors of fx=2x413x3+10x225x+6....Problem 9SP:
a. Factor fx=2x3+7x214x40, given that 4 is a zero of f . b. Solve the equation. 2x3+7x214x40=0Problem 1PE:
Given the division algorithm, identify the polynomials representing the dividend, divisor, quotient,...Problem 3PE:
The remainder theorem indicates that if a polynomial fx is divided by xc, then the remainder is .Problem 4PE:
Given a polynomial fx, the factor theorem indicates that if fc=0,thenxc is a of fx, furthermore, if...Problem 5PE:
Answer true or false. If 5 is a zero of a polynomial, then x5 is a factor of the polynomial.Problem 6PE:
Answer true or false. If x+3 is a factor of a polynomial, then 3 is a zero of the polynomial.Problem 7PE:
For Exercises 7-8, (See Example 1) a. Use long division to divide. b. Identify the dividend,...Problem 11PE:
For Exercises 9-22, use long division to divide. (See Example 1-3) 8+30x27x212x3+4x4x+2Problem 12PE:
For Exercises 9-22, use long division to divide. (See Example 1-3) 4828x+20x2+17x3+3x4x+3Problem 15PE:
For Exercises 9-22, use long division to divide. (See Example 1-3) x5+4x4+18x220x10x2+5Problem 17PE:
For Exercises 9-22, use long division to divide. (See Example 1-3) 6x4+3x37x2+6x52x2+x3Problem 23PE:
For Exercises 23-26, consider the division of two polynomials: fxxc. The result of the synthetic...Problem 25PE:
For Exercises 23-26, consider the division of two polynomials: fxxc. The result of the synthetic...Problem 27PE:
For Exercises 27-38, use synthetic division to divide the polynomials. (See Example 4-5)...Problem 29PE:
For Exercises 27-38, use synthetic division to divide the polynomials. (See Example 4-5) 5x217x12x4Problem 30PE:
For Exercises 27-38, use synthetic division to divide the polynomials. (See Example 4-5) 2x2+x21x3Problem 31PE:
For Exercises 27-38, use synthetic division to divide the polynomials. (See Example 4-5)...Problem 32PE:
For Exercises 27-38, use synthetic division to divide the polynomials. (See Example 4-5)...Problem 33PE:
For Exercises 27-38, use synthetic division to divide the polynomials. (See Example 4-5)...Problem 35PE:
For Exercises 27-38, use synthetic division to divide the polynomials. (See Example 4-5) x5+32x+2Problem 36PE:
For Exercises 27-38, use synthetic division to divide the polynomials. (See Example 4-5) x481x+3Problem 37PE:
For Exercises 27-38, use synthetic division to divide the polynomials. (See Example 4-5)...Problem 38PE:
For Exercises 27-38, use synthetic division to divide the polynomials. (See Example 4-5)...Problem 39PE:
The value f6=39 for a polynomial fx . What can be concluded about the remainder or quotient of...Problem 40PE:
Given a polynomial fx, the quotient fxx2 has a reminder of 12. What is the value of f2?Problem 41PE:
Given fx=2x45x3+x27, a. Evaluate f4 . b. Determine the remainder when fx is divided by x4.Problem 42PE:
Given gx=3x5+2x4+6x2x+4, a. Evaluate g2 b. Determine the remainder when gx is divided by x2.Problem 43PE:
For Exercises 43-46, use the remainder theorem to evaluate the polynomial for the given value of x....Problem 44PE:
For Exercises 43-46, use the remainder theorem to evaluate the polynomial for the given value of x....Problem 45PE:
For Exercises 43-46, use the remainder theorem to evaluate the polynomial for the given value of x....Problem 46PE:
For Exercises 43-46, use the remainder theorem to evaluate the polynomial for the given value of x....Problem 47PE:
For Exercises 47-54, use the reminder theorem to determine if the given number c is a zero of the...Problem 48PE:
For Exercises 47-54, use the reminder theorem to determine if the given number c is a zero of the...Problem 49PE:
For Exercises 47-54, use the reminder theorem to determine if the given number c is a zero of the...Problem 50PE:
For Exercises 47-54, use the reminder theorem to determine if the given number c is a zero of the...Problem 51PE:
For Exercises 47-54, use the reminder theorem to determine if the given number c is a zero of the...Problem 54PE:
For Exercises 47-54, use the reminder theorem to determine if the given number c is a zero of the...Problem 55PE:
For Exercises 55-60, use the factor theorem to determine if the given binomial is a factor of fx ....Problem 56PE:
For Exercises 55-60, use the factor theorem to determine if the given binomial is a factor of fx ....Problem 57PE:
For Exercises 55-60, use the factor theorem to determine if the given binomial is a factor of fx ....Problem 58PE:
For Exercises 55-60, use the factor theorem to determine if the given binomial is a factor of fx ....Problem 59PE:
For Exercises 55-60, use the factor theorem to determine if the given binomial is a factor of fx ....Problem 65PE:
a. Factor fx=2x3+x237x36, given that 1 is a zero. (See Example 9) b. Solve. 2x3+x237x36=0Problem 71PE:
For Exercises 71-82, write a polynomial fx that meets the given conditions. Answers may vary. (See...Problem 74PE:
For Exercises 71-82, write a polynomial fx that meets the given conditions. Answers may vary. (See...Problem 76PE:
For Exercises 71-82, write a polynomial fx that meets the given conditions. Answers may vary. (See...Problem 77PE:
For Exercises 71-82, write a polynomial fx that meets the given conditions. Answers may vary. (See...Problem 78PE:
For Exercises 71-82, write a polynomial fx that meets the given conditions. Answers may vary. (See...Problem 80PE:
For Exercises 71-82, write a polynomial fx that meets the given conditions. Answers may vary. (See...Problem 82PE:
For Exercises 71-82, write a polynomial fx that meets the given conditions. Answers may vary. (See...Problem 85PE:
...Problem 86PE:
If a fifth-degree polynomial is divided by a second-degree polynomial, the quotient is a -degree...Problem 87PE:
Determine if the statement is true or false: Zero is a zero of the polynomial 3x57x42x314.Problem 88PE:
Determine if the statement is true or false: Zero is a zero of the polynomial 2x4+5x3+6x.Problem 89PE:
Find m so that x+4 is a factor of 4x3+13x25x+m.Problem 90PE:
Find m so that x+5 is a factor of 3x410x3+20x222x+m.Problem 91PE:
Find m so that x+2 is a factor of 4x3+5x2+mx+2.Problem 95PE:
A metal block is formed from a rectangular solid with a rectangular piece cut out. a. Write a...Problem 96PE:
A wedge is cut from a rectangular solid. a. Write a polynomial Vx that represents the volume of the...Problem 99PE:
Given a polynomial fx and a constant c, state two methods by which the value fc can be computed.Problem 100PE:
Write an informal explanation of the factor theorem.Problem 101PE:
a. Factor fx=x35x2+x5 into factors of the form xc, given that 5 is a zero. b. Solve. x35x2+x5=0Problem 102PE:
a. Factor fx=x33x2+100x300 into factors of the form xc, given that 3 is a zero. b. Solve....Problem 103PE:
a. Factor fx=x4+2x32x26x3 into factors of the form xc, given that 1 is a zero. b. Solve....Problem 104PE:
a. Factor fx=x4+4x3x220x20 into factors of the form xc, given that 2 is a zero. b. Solve....Browse All Chapters of This Textbook
Chapter R - Review Of PrerequisitesChapter R.1 - Sets And The Real Number LineChapter R.2 - Exponents And RadicalsChapter R.3 - Polynomials And FactoringChapter R.4 - Rational Expressions And More Operations On RadicalsChapter R.5 - Equations With Real SolutionsChapter R.6 - Complex Numbers And More Quadratic EquationsChapter R.7 - Applications Of EquationsChapter R.8 - Linear, Compound, And Absolute Value InequalitiesChapter 1 - Functions And Relations
Chapter 1.1 - The Rectangular Coordinate System And Graphing UtilitiesChapter 1.2 - CirclesChapter 1.3 - Functions And RelationsChapter 1.4 - Linear Equations In Two Variables And Linear FunctionsChapter 1.5 - Applications Of Linear Equations And ModelingChapter 1.6 - Transformations Of GraphsChapter 1.7 - Analyzing Graphs Of Functions And Piecewise-defined FunctionsChapter 1.8 - Algebra Of Functions And Function CompositionChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions And ApplicationsChapter 2.2 - Introduction To Polynomial FunctionsChapter 2.3 - Division Of Polynomials And The Remainder And Factor TheoremsChapter 2.4 - Zeros Of PolynomialsChapter 2.5 - Rational FunctionsChapter 2.6 - Polynomial And Rational InequalitiesChapter 2.7 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Inverse FunctionsChapter 3.2 - Exponential FunctionsChapter 3.3 - Logarithmic FunctionsChapter 3.4 - Properties Of LogarithmsChapter 3.5 - Exponential And Logarithmic Equations And ApplicationsChapter 3.6 - Modeling With Exponential And Logarithmic FunctionsChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - Trigonometric Functions Defined On The Unit CircleChapter 4.3 - Right Triangle TrigonometryChapter 4.4 - Trigonometric Functions Of Any AngleChapter 4.5 - Graphs Of Sine And Cosine FunctionsChapter 4.6 - Graphs Of Other Trigonometric FunctionsChapter 4.7 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Fundamental Trigonometric IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle, Power-reducing, And Half-angle FormulasChapter 5.4 - Product-to-sum And Sum-to-product FormulasChapter 5.5 - Trigonometric EquationsChapter 6 - Applications Of Trigonometric FunctionsChapter 6.1 - Applications Of Right TrianglesChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - Harmonic MotionChapter 7 - Trigonometry Applied To Polar Coordinate Systems And VectorsChapter 7.1 - Polar CoordinatesChapter 7.2 - Graphs Of Polar EquationsChapter 7.3 - Complex Numbers In Polar FormChapter 7.4 - VectorsChapter 7.5 - Dot ProductChapter 8 - Systems Of Equations And InequalitiesChapter 8.1 - Systems Of Linear Equations In Two Variables And ApplicationsChapter 8.2 - Systems Of Linear Equations In Three Variables And ApplicationsChapter 8.3 - Partial Fraction DecompositionChapter 8.4 - Systems Of Nonlinear Equations In Two VariablesChapter 8.5 - Inequalities And Systems Of Inequalities In Two VariablesChapter 8.6 - Linear ProgrammingChapter 9 - Matrices And Determinants And ApplicationsChapter 9.1 - Solving Systems Of Linear Equations Using MatricesChapter 9.2 - Inconsistent Systems And Dependent EquationsChapter 9.3 - Operations On MatricesChapter 9.4 - Inverse Matrices And Matrix EquationsChapter 9.5 - Determinants And Cramer’s RuleChapter 10 - Analytic GeometryChapter 10.1 - The EllipseChapter 10.2 - The HyperbolaChapter 10.3 - The ParabolaChapter 10.4 - Rotation Of AxesChapter 10.5 - Polar Equations Of ConicsChapter 10.6 - Plane Curves And Parametric EquationsChapter 11 - Sequences, Series, Induction, And ProbabilityChapter 11.1 - Sequences And SeriesChapter 11.2 - Arithmetic Sequences And SeriesChapter 11.3 - Geometric Sequences And SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 11.6 - Principles Of CountingChapter 11.7 - Introduction To Probability
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