Zeros Of Polynomials Worksheet Template With Answer Key - Calin M. Agut
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5Zeros of Polynomials
Find the requested function.
1) Find the polynomial function with leading coefficient 2; degree 3; and -1, 2, and 3 as zeros.
B) f(x) = (x + 1)(x - 2)(x - 3)
A) f(x) = 2(x + 1)(x - 2)(x - 3)
D) f(x) = (x - 1)(x + 2)(x + 3)
C) f(x) = 2(x - 1)(x + 2)(x + 3)
2) Find the polynomial function with leading coefficient 3; degree 3; and -4, 2, and -3 as zeros.
B) f(x) = (x - 4)(x + 2)(x - 3)
A) f(x) = 3(x - 4)(x + 2)(x - 3)
D) f(x) = (x + 4)(x - 2)(x + 3)
C) f(x) = 3(x + 4)(x - 2)(x + 3)
3) Find the polynomial function with leading coefficient 2; degree 4; and 7, -5, 2, and -2 as zeros.
B) f(x) = 2x(x - 7)(x + 5)(x - 2)(x + 2)
A) f(x) = 2(x - 7)(x + 5)(x - 2)(x + 2)
D) f(x) = (x - 7)(x + 5)(x - 2)(x + 2)
C) f(x) = 2(x + 7)(x - 5)(x + 2)(x - 2)
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4) Find the polynomial function with leading coefficient 3 ; degree 3; and -3, 4, and
as zeros.
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A) f(x) = 3x 3 - 5x 2 -34x + 24
B) f(x) = 3x 3 + 5x 2 -21x - 36
C) f(x) = 3x 3 - 5x 2 -21x + 36
D) f(x) = 3x 3 + 5x 2 -34x - 24
Find all rational zeros.
5) f(x) = x 3 + 4x 2 - 27x - 90
A) -4, -6, 10
C) -3, -6, 5
B) 4, 6, -10
D) 3, 6, -5
6) f(x) = x 3 - 8x 2 + 4x + 48
B) -4, -6, 2
D) -5, -7, 2
A) 5, 7, -2
C) 4, 6, -2
7) f(x) = 4x 3 - 16x 2 - x + 4
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A) 1, -1, 4
B)
, -
, 4
C) 2, -2, 4
D)
, -
, -4
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2
2
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8) f(x) = 12x 3 + 73x 2 + 5x - 6
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A) -
B) - 3, -4, -6
C) - 3, 4, -6
D) -
,
, -6
, 1, -6
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12
9) f(x) = 10x 3 + 63x 2 + 17x - 6
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A) -
B) - 2, 5, -6
C) -
D) - 2, -5, -6
,
, -6
, 1, -6
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5
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10) f x = x 4 + 2x 3 + 2x 2 - 4x - 8
B) -2, -3
D) -2, 2
A) No rational zeros
C) 2, -1
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