Problem 101
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.* ƒ(x)=x5-6x4+14x3-20x2+24x-16
Problem 103
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.
Problem 105
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.* ƒ(x)=5x3-9x2+28x+6
Problem 106
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.* ƒ(x)=4x3+3x2+8x+6
Problem 107
Find a rational function ƒ having a graph with the given features.
x-intercepts: (-1, 0) and (3, 0)
y-intercept: (0, -3)
vertical asymptote: x=1
horizontal asymptote: y=1
Problem 108
Find a rational function ƒ having a graph with the given features.
x-intercepts: (1, 0) and (3, 0)
y-intercept: none
vertical asymptotes: x=0 and x=2
horizontal asymptote: y=1
Problem 108
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.* ƒ(x)=x4+4x3+6x2+4x+1
Problem 109
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.* ƒ(x)=x4+2x2+1
Problem 111
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.* ƒ(x)=x4-6x3+7x2
Problem 113
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.* ƒ(x)=x4-8x3+29x2-66x+72
Problem 115
Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.* ƒ(x)=x6-9x4-16x2+144
Ch. 3 - Polynomial and Rational Functions
