문제 67
Find a polynomial function ƒ(x) of least degree having only real coefficients and zeros as given. Assume multiplicity 1 unless otherwise stated. 2-i, 3, and -1
문제 73
Find a polynomial function ƒ(x) of least degree having only real coefficients and zeros as given. Assume multiplicity 1 unless otherwise stated. 2-i and 6-3i
문제 79
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.
문제 81
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.
문제 82
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.
문제 83
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.
문제 84
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.
문제 85
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.
문제 86
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.
문제 87
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.
문제 88
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.
문제 89
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.
문제 91
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.
문제 93
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.
문제 94
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function.
문제 97
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.
문제 99
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.
문제 103
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.
문제 9
Graph each function. Determine the largest open intervals of the domain over which each function is (a) increasing or (b) decreasing. ƒ(x)=2x4
문제 18
Graph each function. Determine the largest open intervals of the domain over which each function is (a) increasing or (b) decreasing. ƒ(x)=(1/3)(x+3)4-3
문제 19
Graph each function. Determine the largest open intervals of the domain over which each function is (a) increasing or (b) decreasing. ƒ(x)=(1/2)(x-2)2+4
문제 21
Use an end behavior diagram, as shown below, to describe the end behavior of the graph of each polynomial function. ƒ(x)=5x5+2x3-3x+4
문제 22
Use an end behavior diagram, as shown below, to describe the end behavior of the graph of each polynomial function. ƒ(x)=-x3-4x2+2x-1
문제 24
Use an end behavior diagram, as shown below, to describe the end behavior of the graph of each polynomial function. ƒ(x)=4x7-x5+x3-1
문제 25
Use an end behavior diagram, as shown below, to describe the end behavior of the graph of each polynomial function. ƒ(x)=9x6-3x4+x2-2
문제 26
Use an end behavior diagram, as shown below, to describe the end behavior of the graph of each polynomial function. ƒ(x)=10x6-x5+2x-2
문제 27
Use an end behavior diagram, as shown below, to describe the end behavior of the graph of each polynomial function. ƒ(x)=3+2x-4x2-5x10
문제 28
Use an end behavior diagram, as shown below, to describe the end behavior of the graph of each polynomial function. ƒ(x)=7+2x-5x2-10x4
문제 31
Graph each polynomial function. Factor first if the polynomial is not in factored form. ƒ(x)=-2x(x-3)(x+2)
문제 32
Graph each polynomial function. Factor first if the polynomial is not in factored form. ƒ(x)=-x(x+1)(x-1)
Ch. 3 - Polynomial and Rational Functions
