Master writing the equation of a polynomial give complex zeros

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Mathematics
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11th Grade - University
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Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be included when dealing with complex roots in polynomial equations?
Both positive and negative imaginary roots
Only the negative imaginary root
Only the positive imaginary root
Neither positive nor negative imaginary roots
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in forming a polynomial function from complex roots?
Setting the roots equal to zero
Multiplying the roots directly
Using the quadratic formula
Ignoring the imaginary part
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it recommended to multiply complex numbers first when forming a polynomial?
To avoid using the quadratic formula
To increase the complexity of the equation
To eliminate complex numbers early
To simplify the addition of terms
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the middle terms when using the difference of squares with complex numbers?
They remain unchanged
They become imaginary
They cancel out
They double
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many roots are involved in the example with positive and negative 3i?
6 roots
3 roots
4 roots
5 roots
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying a number by its conjugate?
A zero
A complex number
A real number
An imaginary number
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the final example, what method is used to simplify the multiplication of trinomials?
The Pythagorean theorem
The quadratic formula
The box method
The Euclidean algorithm
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