Math 112 Final Exam Study Aid Worksheet With Answer Key Page 26
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39Math 112
Final Exam Study Aid
26 of 39
4
3
2
88. What is the remainder when p(x) = x
+ x
x
2 is divided by x + 3?
(A)
26
(B) 43
(C)
17
(D) 0
(E) None of these
89. Find a polynomial of lowest degree that has
3,
2, and
2 as its zeros.
3
2
2
(A) x
+ 3x
2x
6
(B) x
+ ( 3
2)x
6
3
2
2
(C) x
+ 3x
4x
12
(D) x
2 2x + 3
(E) None of these
3
2
2
90. What is the remainder when 5x
6x
+ 3 is divided by x
x + 4?
(A)
21x + 7 (B) 7
(C) 21x
7
(D)
14x
(E) None of these
91. Find a polynomial of lowest degree having zeros
2, 1, 0 (a zero of multiplicity 2), and
4 (a zero of multiplicity 3).
2
3
2
3
(A) f (x) = x
(x + 2)(x
1)(x + 4)
(B) f (x) = x
(x
2)(x + 1)(x
4)
3
3
(C) f (x) = 2x(x + 2)(x
1)(x + 4)
(D) f (x) = (x + 2)(x
1)(x + 4)
(E) None of these
x + 1
92. Find the vertical asymptote(s), if any, for f (x) =
.
2
4x
1
1
1
1
1
(A) x =
(B) x =
(C) x =
, x =
4
2
2
2
1
1
(D) x =
, x =
(E) x =
1
4
4
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