Zeros Of Polynomials Worksheet Template With Answer Key - Calin M. Agut Page 3
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5PreCalculus
19) 2, -4, and 1 + 3i
A) f(x) = x 4 - 2x 2 + 36x - 80
B) f(x) = x 4 - 3x 3 - 6x 2 + 18x - 80
C) f(x) = x 4 - 9x 2 + 36x - 80
D) f(x) = x 4 - 3x 3 + 6x 2 - 18x + 80
20) -3i and 3
A) f(x) = x 4 - 6x 2 - 27
B) f(x) = x 4 + 6x 2 - 27
C) f(x) = x 4 + 12x 2 + 27
D) f(x) = x 4 - 12x 2 + 27
21) 4 and 5 + 6i
A) f x = x 3 - 14x 2 + 101x - 243
B) f x = x 3 - 14x 2 + 101x - 244
C) f x = x 3 + 14x 2 + 101x - 244
D) f x = x 3 - 14x 2 + 101x + 244
Write a linear factorization of the function.
22) f(x) = 5x 3 + 5x
A) f(x) = 5x(x + 1) 2
B) f(x) = 5x(x + i)(x - i)
C) f(x) = 5x(x + i) 2
D) f(x) = x(x + 5i)(x - i)
23) f(x) = x 4 + 52x 2 + 576
A) f(x) = (x + 24i) 4
B) f(x) = (x 2 + 24i)(x 2 - 24i)
C) f(x) = (x + i)(x - i)(x + 24i)(x - 24i)
D) f(x) = (x + 4i)(x - 4i)(x + 6i)(x - 6i)
24) f(x) = x 3 + 4x 2 + 25x + 100
A) f(x) = (x + 4i)(x + 5i)(x - 5i)
B) f(x) = (x + 5i)(x + 4i)(x - 4i)
C) f(x) = (x + 4)(x + 5i)(x - 5i)
D) f(x) = (x + 5)(x + 4i)(x - 4i)
25) f(x) = x 3 + 2x 2 + 2x - 5
A) f(x) = (x + 1)(2x + 3 + 7i)(2x + 3 - 7i)
B) f(x) = (x + 1)(2x + 3 + 11i)(2x + 3 - 11i)
C) f(x) = (x - 1)(x + 3 + 11i)(x + 3 - 11i)
D) f(x) = (x - 1)(2x + 3 + 11i)(2x + 3 - 11i)
26) f(x) = x 4 - 5x 3 + 31x 2 - 125x + 150
A) f(x) = (x - 2)(x + 5)(x - 3i)(x + 3i)
B) f(x) = (x + 5)(x - 3)(x - 2i)(x + 2i)
D) f(x) = (x - 2)(x - 3)(x 2 + 25)
C) f(x) = (x - 2)(x - 3)(x + 5i)(x - 5i)
27) f x = x 4 + 16x 3 + 65x 2 + 16x + 64
B) f x = x + 8 x + 9 x + i x - i
A) f x = x + 8 x + i x - i
D) f x = x + 8 x + 10 x + i x - i
C) f x = x + 8 2 x + i x - i
Using the given zero, find all other zeros of f(x).
28) i is a zero of f(x) = x 4 - 4x 3 + 2x 2 - 4x + 1
A) -i, 2 + 2 3, 2 - 2 3
B) -i, 2 + 3, 2 - 3
C) -i, 1 + 3, 1 - 3
D) -i, -2 + 3, -2 - 3
Calin M. Agut - 2012
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