Given One Complex Zero Find the Remaining Zeros of a Polynomial

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Mathematics
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11th Grade - University
•
Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between a complex zero and its conjugate in a polynomial?
They are always equal.
They are always opposite in sign.
They cannot both be zeros.
They are both zeros of the polynomial.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main purpose of using synthetic division in this context?
To determine the leading coefficient.
To find the degree of the polynomial.
To simplify the polynomial.
To find the remaining zeros of the polynomial.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When performing synthetic division with complex numbers, what operation is primarily used?
Subtraction
Division
Addition
Exponentiation
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying two imaginary units, i.e., i * i?
1
-1
i
0
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final factor obtained after performing synthetic division twice in this example?
x + 5i
x - 5i
2x + 3
x - 3
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