Problem 1SP: Skill Practice 1
Use long division to divide.
Problem 2SP: Skill Practice 2 Use long division to divide. (17x+5x23x2+2x4)(x2+3) Problem 3SP: Skill Practice 3
Use long division to divide.
Problem 4SP: Skill Practice 4
Use synthetic division to divide.
Problem 5SP: Skill Practice 5
Use synthetic division to divide.
Problem 6SP: Skill Practice 6
Given use the remainder theorem to evaluate
a. b.
Problem 7SP: Skill Practice 7
Use the remainder theorem to determine if the given number, c, is a zero of the... Problem 8SP: Skill Practice 8
Use the factor theorem to determine if the given polynomials are factors... Problem 9SP: Skill Practice 9
a. Factor, given that –4 is a zero of.
b. Solve the equation.
Problem 10SP: Skill Practice 10 Write a polynomial f(x) of degree 3 that has the zeros 13,3and3. Problem 1PE Problem 2PE: Review Exercises For Exercises 1-2, Determine whether the graph of the parabola opens upward or... Problem 3PE Problem 4PE Problem 5PE Problem 6PE Problem 7PE Problem 8PE Problem 9PE Problem 10PE Problem 11PE Problem 12PE Problem 13PE Problem 14PE Problem 15PE Problem 16PE Problem 17PE Problem 18PE: For Exercises 7–8, (See Example 1)
a. Use long division to divide.
b. Identify the dividend.... Problem 19PE: For Exercises 922, use long division to divide, (See Examples 13) (3x211x210)(x4) Problem 20PE: For Exercises 922, use long division to divide, (See Examples 13) (2x37x265)(x5) Problem 21PE: For Exercises 922, use long division to divide, (See Examples 13) (8+30x27x212x3+4x4)(x+2) Problem 22PE: For Exercises 9–22, use long division to divide, (See Examples 1–3)
12.
Problem 23PE: For Exercises 922, use long division to divide, (See Examples 13) (20x2+6x416)(2x+4) Problem 24PE: For Exercises 922, use long division to divide, (See Examples 13) (60z2+8x4108)(2x6) Problem 25PE: For Exercises 922, use long division to divide, (See Examples 13) (x5+4x4+18x220x10)(x2+5) Problem 26PE: For Exercises 922, use long division to divide, (See Examples 13) (x52x4+x38x+18)(x23) Problem 27PE: For Exercises 9–22, use long division to divide, (See Examples 1–3)
17.
Problem 28PE Problem 29PE: For Exercises 922, use long division to divide, (See Examples 13) x327x3 Problem 30PE: For Exercises 9–22, use long division to divide, (See Examples 1–3)
20.
Problem 31PE: For Exercises 2326, consider the division of two polynomials: f(x)(xc) . The result of the synthetic... Problem 32PE Problem 33PE: For Exercises 2326, consider the division of two polynomials: f(x)(xc) . The result of the synthetic... Problem 34PE Problem 35PE: For Exercises 27–38, use synthetic division to divide the polynomials. (See Examples 4–5)
27.
Problem 36PE: For Exercises 2738, use synthetic division to divide the polynomials. (See Examples 45)... Problem 37PE: For Exercises 2738, use synthetic division to divide the polynomials. (See Examples 45)... Problem 38PE Problem 39PE: For Exercises 27–38, use synthetic division to divide the polynomials. (See Examples 4–5)
31.
Problem 40PE Problem 41PE: For Exercises 27–38, use synthetic division to divide the polynomials. (See Examples 4–5)
33.
Problem 42PE Problem 43PE: For Exercises 2738, use synthetic division to divide the polynomials. (See Examples 45) x5+32x+2 Problem 44PE Problem 45PE: 41. Given.
a. Evaluate.
b. Determine the remainder when is divided by.
Problem 46PE Problem 47PE: For Exercises 4346, use the remainder theorem to evaluate the polynomial for the given values of x.... Problem 48PE: For Exercises 4346, use the remainder theorem to evaluate the polynomial for the given values of x.... Problem 49PE: For Exercises 43–46, use the remainder theorem to evaluate the polynomial for the given values of x.... Problem 50PE Problem 51PE: For Exercises 4754, use the remainder theorem to determine if the given number c is a zero of the... Problem 52PE Problem 53PE: For Exercises 47–54, use the remainder theorem to determine if the given number c is a zero of the... Problem 54PE Problem 55PE: For Exercises 47–54, use the remainder theorem to determine if the given number c is a zero of the... Problem 56PE: For Exercises 4754, use the remainder theorem to determine if the given number c is a zero of the... Problem 57PE: For Exercises 47–54, use the remainder theorem to determine if the given number c is a zero of the... Problem 58PE Problem 59PE: For Exercises 55–60, use the factor theorem to determine if the given binomial is a factor of. (See... Problem 60PE Problem 61PE: For Exercises 55–60, use the factor theorem to determine if the given binomial is a factor of. (See... Problem 62PE Problem 63PE: a. Use synthetic division and the factor theorem to determine if [x(2+5i)] is a factor of... Problem 64PE Problem 65PE: a. Factor f(x)=2x2+x237x36, given that 1is a zero. (See Example 9) b. Solve. 2x3+x237x36=0 Problem 66PE Problem 67PE: 67. a. Factor is a zero.
b. Solve.
Problem 68PE: 68. a. Factor is a zero.
b. Solve.
Problem 69PE: 69. a. Factor, given that 3 is a zero.
b. Solve.
Problem 70PE Problem 71PE: For Exercises 7182, write a polynomial f(x) that meets the given conditions. Answers may vary. (See... Problem 72PE Problem 73PE: For Exercises 7182, write a polynomial f(x) that meets the given conditions. Answers may vary. (See... Problem 74PE Problem 75PE: For Exercises 7182, write a polynomial f(x) that meets the given conditions. Answers may vary. (See... Problem 76PE Problem 77PE: For Exercises 71–82, write a polynomial that meets the given conditions. Answers may vary. (See... Problem 78PE Problem 79PE: For Exercises 7182, write a polynomial f(x) that meets the given conditions. Answers may vary. (See... Problem 80PE Problem 81PE: For Exercises 7182, write a polynomial f(x) that meets the given conditions. Answers may vary. (See... 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 Problem 98PE: How can the division algorithm be used to check the result of polynomial division? Problem 99PE Problem 100PE Problem 101PE Problem 102PE Problem 103PE Problem 104PE Problem 105PE Problem 106PE format_list_bulleted