R Review Of Prerequisites 1 Equations And Inequalities 2 Functions And Relations 3 Polynomial And Rational Functions 4 Exponential And Logarithmic Functions 5 Trigonometric Functions 6 Analytic Trigonometry 7 Applications Of Trigonometric Functions 8 Trigonometry Applied To Polar Coordinate Systems And Vectors 9 Systems Of Equations And Inequalities 10 Matrices And Determinants And Applications 11 Analytic Geometry 12 sequences, Series, Induction, And Probability expand_more
3.1 Quadratic Functions And Applications 3.2 Introduction To Polynomial Functions 3.3 Division Of Polynomials And The Remainder And Factor Theorems 3.4 Zeros Of Polynomials 3.5 Rational Functions 3.6 Polynomial And Rational Inequalities 3.7 Variation Chapter Questions expand_more
Problem R.1PE: Evaluate (3+4i)2 and write the answer in standard form, a+bi . Problem R.2PE Problem R.3PE Problem 1PE Problem 2PE: Given 2x35x26x+1x3=2x2+x38x3 , use the division algorithm to check the result. Problem 3PE Problem 4PE Problem 5PE Problem 6PE Problem 7PE: For Exercises 7-8, (See Example 1) a. Use long division to divide. b. Identify the dividend,... Problem 8PE Problem 9PE: For Exercises 9-22, use long division to divide. (See Examples 1—3) (3x311x210)(x4) Problem 10PE Problem 11PE: For Exercises 9-22, use long division to divide. (See Examples 1-3) (8+30x27x212x3+4x4)(x+2) Problem 12PE Problem 13PE: For Exercises 9-22, use long division to divide. (See Examples 1-3) (20x2+17x416)(2x+4) Problem 14PE Problem 15PE: For Exercises 9-22, use long division to divide. (See Examples 1-3) (x5+4x4+18x220x10)(x2+5) Problem 16PE: For Exercises 9-22, use long division to divide. (See Examples 1-3) (x52x4+x3+8x+18)(x23) Problem 17PE: For Exercises 9-22, use long division to divide. (See Examples 1-3) 6x4+3x37x2+6x52x2+x3 Problem 18PE Problem 19PE: For Exercises 9-22, use long division to divide. (See Examples 1-3) x327x3 Problem 20PE Problem 21PE Problem 22PE: For Exercises 9-22, use long division to divide. (See Examples 1-3) (2x3+x2+1)(3x+1) Problem 23PE Problem 24PE: For Exercises 23-26, consider the division of two polynomials: f(x)=(xc) The result of the synthetic... Problem 25PE Problem 26PE Problem 27PE: For Exercises 27-38, use synthetic division to divide the polynomials. (See Examples 4-5)... Problem 28PE: For Exercises 27-38, use synthetic division to divide the polynomials. (See Examples 4-5)... Problem 29PE: For Exercises 27-38, use synthetic division to divide the polynomials. (See Examples 4-5)... Problem 30PE: For Exercises 27-38, use synthetic division to divide the polynomials. (See Examples 4-5)... Problem 31PE: For Exercises 27-38, use synthetic division to divide the polynomials. (See Examples 4-5)... Problem 32PE: For Exercises 27-38, use synthetic division to divide the polynomials. (See Examples 4-5)... Problem 33PE: For Exercises 27-38, use synthetic division to divide the polynomials. (See Examples 4-5)... Problem 34PE: For Exercises 27-38, use synthetic division to divide the polynomials. (See Examples 4-5)... Problem 35PE: For Exercises 27-38, use synthetic division to divide the polynomials. (See Examples 4-5) x5+32x+2 Problem 36PE: For Exercises 27-38, use synthetic division to divide the polynomials. (See Examples 4-5) x481x+3 Problem 37PE: For Exercises 27-38, use synthetic division to divide the polynomials. (See Examples 4-5)... Problem 38PE: For Exercises 27-38, use synthetic division to divide the polynomials. (See Examples 4-5)... Problem 39PE: The value f(6)=39 for a polynomial f(x) . What can be concluded about the remainder or quotient of... Problem 40PE: Given a polynomial f(x) , the quotient f(x)x2 has a remainder of 12. What is the value of f(2) ? Problem 41PE Problem 42PE Problem 43PE Problem 44PE Problem 45PE Problem 46PE: For Exercises 43-46, use the remainder theorem to evaluate the polynomial for the given values of x.... Problem 47PE: For Exercises 47-54, use the remainder theorem to determine if the given number c is a zero of the... Problem 48PE Problem 49PE: For Exercises 47-54, use the remainder theorem to determine if the given number c is a zero of the... Problem 50PE Problem 51PE: For Exercises 47-54, use the remainder theorem to determine if the given number c is a zero of the... Problem 52PE: For Exercises 47-54, use the remainder theorem to determine if the given number c is a zero of the... Problem 53PE Problem 54PE Problem 55PE: For Exercises 55-60, use the factor theorem to determine if the given binomial is a factor of f(x) .... Problem 56PE Problem 57PE: For Exercises 55-60, use the factor theorem to determine if the given binomial is a factor of f(x) .... Problem 58PE Problem 59PE: For Exercises 55-60, use the factor theorem to determine if the given binomial is a factor of f(x) .... Problem 60PE Problem 61PE Problem 62PE Problem 63PE Problem 64PE Problem 65PE: a. Factor f(x)=2x3+x237x36 , given that -1 is a zero. (See Example 9) b. Solve. 2x3+x237x36=0 Problem 66PE Problem 67PE: a. Factor f(x)=20x3+39x23x2 , given that 14 is a zero. b. Solve. 20x3+39x23x2=0 Problem 68PE Problem 69PE: a. Factor f(x)9x333x2+19x3=0 , given that 3 is a zero. b. Solve. 9x333x2+19x3=0 Problem 70PE Problem 71PE: For Exercises 71-82, write a polynomialf(x) that meets the given conditions. Answers may vary. (See... Problem 72PE Problem 73PE: For Exercises 71-82, write a polynomial f(x) that meets the given conditions. Answers may vary. (See... Problem 74PE Problem 75PE Problem 76PE Problem 77PE Problem 78PE Problem 79PE Problem 80PE Problem 81PE Problem 82PE Problem 83PE Problem 84PE Problem 85PE Problem 86PE Problem 87PE Problem 88PE Problem 89PE Problem 90PE Problem 91PE Problem 92PE Problem 93PE Problem 94PE Problem 95PE Problem 96PE Problem 97PE: Under what circumstances can synthetic division be used to divide polynomials? Problem 98PE Problem 99PE Problem 100PE Problem 101PE Problem 102PE Problem 103PE Problem 104PE Problem 105PE Problem 106PE format_list_bulleted