Mth 112 Chapter 2 Practice Test Problems Worksheet With Answers Page 4
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1254) f(x) = 6x 3 - 4x - x 5
Use the Rational Zero Theorem to list all possible rational
zeros for the given function.
y
y
66) f(x) = x 4 + 3x 3 - 5x 2 + 5x - 12
10
10
5
5
67) f(x) = -4x 4 + 3x 2 - 4x + 6
68) f(x) = 6x 4 + 2x 3 - 3x 2 + 6x - 5
x
x
-10
-10
-5
-5
5
5
10
10
-5
-5
Find a rational zero of the polynomial function and use it to
find all the zeros of the function.
-10
-10
69) f(x) = x 3 + 2x 2 - 9x - 18
70) f(x) = x 3 + 6x 2 - x - 6
Divide using long division.
55) (-24x 2 + 38x - 15) ÷ (-4x + 3)
71) f(x) = x 4 + 5x 3 - 2x 2 - 18x - 12
9r 3 - 74r 2 - 58r - 45
56)
r - 9
Solve the polynomial equation. In order to obtain the first
root, use synthetic division to test the possible rational roots.
72) x 3 + 2x 2 - 9x - 18 = 0
2x 3 - 11x + 6
57)
x - 2
73) x 3 - 3x 2 - x + 3 = 0
x 4 + 81
58)
x - 3
74) 3x 3 - x 2 - 15x + 5 = 0
Divide using synthetic division.
75) x 4 - 7x 3 + 7x 2 + 59x - 156 = 0
4x 2 + 7x - 15
59)
x + 3
Find an nth degree polynomial function with real
coefficients satisfying the given conditions.
-3x 3 - 3x 2 + 12x + 12
76) n = 3; 3 and i are zeros; f(2) = 30
60)
x + 2
77) n = 3; 2 and -2 + 3i are zeros; leading coefficient is
x 4 - 3x 3 + x 2 + 6x - 7
1
61)
x - 1
78) n = 4; 2i, 5, and -5 are zeros; leading coefficient is
1
62) (4x 5 +7x 4 + -12x 3 + x 2 - x + 75) ÷ (x + 3)
Find the domain of the rational function.
Use the Remainder Theorem to find the indicated function
7x
79) h(x) =
value.
x + 3
63) f(x) = x 4 - 7x 3 - 6x 2 - 7x + 3; f(-3)
x + 4
80) f(x) =
64) f(x) = 7x 4 + 3x 3 + 6x 2 - 4x + 73; f(2)
x 2 - 25
65) f(x) = x 5 - 3x 4 + 3x 3 + 9; f(-4)
x + 2
81) f(x) =
x 2 - 9x
4
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