
Complex Zeros and Polynomial Division

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Thomas White
FREE Resource
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6 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the Conjugate Zeros Theorem state about complex zeros in polynomials with real coefficients?
Complex zeros are always real.
Complex zeros do not exist.
Complex zeros occur singly.
Complex zeros occur in pairs.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If 2 + 3i is a zero of a polynomial, what is its conjugate zero?
-2 - 3i
-2 + 3i
2 + 3i
2 - 3i
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding a polynomial of least degree with given zeros?
Write the polynomial in factored form using the zeros.
Multiply all zeros together.
Add all zeros together.
Divide the polynomial by its degree.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When simplifying polynomial expressions, what is the result of multiplying (1 + 2i) by its conjugate (1 - 2i)?
0
1
4
5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using synthetic division in solving polynomial equations?
To find the degree of the polynomial.
To simplify the polynomial.
To find all zeros of the polynomial.
To multiply the polynomial.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In synthetic division, what is the result when dividing a polynomial by a factor corresponding to a known zero?
A remainder of one.
A remainder of zero.
A remainder of the leading coefficient.
A remainder of the degree of the polynomial.
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