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WorksheetsWrite Polynomial from its zeros
Total questions: 33
Worksheet time: 4hrs 47mins
Write the factored form of a function if it has zeros of 2, 3 and -1.
(x-2)(x-3)(x+1)
(x-1)(x-2)(x-3)
(x-1)(x+2)(x+3)
(x+1)(x+2)(x+3)
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4.
Pick the polynomial that has the factors 3, 2, -2
f(x) = (x - 3)(x - 2)(x + 2)
f(x) = (x + 3)(x + 2)(x - 2)
f(x) = (3x)(2x)(-2x)
f(x) = 3x2 + 2x - 2
which of the following is the correct factored form?
Select polynomial whose zeros and degree are given.
Zeros: – 5 with multiplicity of 3, 9 with multiplicity of 2, – 2, and 4.
(x + 5)3(x - 9)2(x + 2)(x - 4)
(x + 5)3(x - 9)2(x + 2)7(x - 4)7
(x + 5)3(x - 9)2(x + 2)
(x + 5)(x - 9)(x + 2)(x - 4)
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4.
P(x) = 3x4+4x-8 have?
Write the polynomial in standard form given the following zeros. x = -2, 1, 4
f(x) = (x+2)(x-1)(x-4)
f(x) =x3 - 3x2 - 6x + 8
f(x) = x3 + 8
f(x) = x3 - 3x2 + 8
Write a polynomial as linear factors with the given zeros:
x = -1, √2
f(x) = ( x +1) (x + √2)(x - √2)
f(x) = ( x -1) (x + √2)
f(x) = (x + 1)(x - √2)
f(x) = (x + 1)(x - 2)(x + 2)
Pick the polynomial that has the factors 5, -1, 0
f(x) = x(x - 1)(x + 5)
f(x) = (x - 5)(x + 1)
f(x) = x(x + 1)(x - 5)
f(x) = 5x2 - x
Which polynomial is in standard form?
2 + x + 4
x4 + x7
2 + x2 + 3x
2x3 + 3x2 + x + 4
How many terms are there is 2x3 +x2 + 4x + 6
4
2
1
6
Degree - Even
Degree - Odd
Degree - Even
Degree - Odd
Degree - Even
Degree - Odd
Degree - Even
Degree - Odd
Degree - Even
Degree - Odd
Degree - Even
Degree - Odd
One zero in the polynomial x3 - 18x2 + 83x - 66 is 1. What are the other zeros? Hint: Synthetic and factoring
6, 11
3, 22
2, 33
Which of the following would be the correct factored form with roots 2, 5i, and 6?
(x-6)(x-2)(x+5i)(x-5i)
(x+6)(x+2)(x+5i)
(x-6)(x-2)(x-5i)
(x+6)(x+2)(x-5i)
Write the polynomial with the given zeros
A
B
C
D
Write the polynomial with the given zeros
A
B
C
D
Write a polynomial function of least degree with integral coefficients that has the given zeros.
-1, 5, -3+2i
x4+2x3-16x2-82x-69
x4+7x3-16x2-82x-65
x4+2x3-16x2-82x-65
x4+2x3-16x2-82x-68
Write a polynomial function of least degree with integral coefficients that has the given zeros.
5, -2i
x3-5x2+4x-20
x3-5x2+4x-23
x3-5x2+4x-19
x3-10x2+4x-20
Build a Polynomial with the following Zeros:
-1, 4
x2 - 3x - 4
x2 + 3x + 4
x2 - 5x + 5
x2 - 5x - 4
Build a Polynomial with the following Zeros:
-2, -1, 2
2x3 - x2 - 4x - 2
x3 + 2x2 - 2x + 4
x3 + x2 - 4x + 4
x3 - x2 - x + 4
Build a Polynomial with the following Zeros:
4, 5, 6, 7
x4 - 22x3 + 89x2 + 638x + 730
x4 - 12x3 - 179x2 - 638x + 540
x4 - 22x3 + 179x2 - 638x + 840
x4 - 13x3 + 179x2 - 638x + 640
Identify the Graph of the Polynomial with the following Zeros:
-3, 0, 6
Identify the Graph of the Polynomial with the following Zeros:
-4, -1, 1, 4
Find a polynomial function of degree 4 with zeros 3i and -√2.
x4 - 7x2 + 18
x4 + 7x2 - 18
x4 - 7x2 - 18
x4 + 7x2 + 18
