Finding All of the Zeros of a Polynomial Including Complex

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the zeros of a polynomial without a calculator?
Apply Descartes' Rule of Signs
Use the quadratic formula
Begin with positive 1 and negative 1
Start with the largest factor
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which theorem helps determine if a number is a zero of a polynomial?
Fundamental Theorem of Algebra
Remainder Theorem
Pythagorean Theorem
Binomial Theorem
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result when a polynomial is divided by one of its factors?
A remainder of 0
A negative remainder
An undefined result
A remainder of 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What method is used when a polynomial is not factorable?
Synthetic division
Long division
Graphical method
Quadratic formula
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many complex solutions are there if a polynomial is not factorable?
Three
Two
None
One
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does Descartes' Rule of Signs help determine?
The constant term
The leading coefficient
The number of real zeros
The degree of the polynomial
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to Descartes' Rule of Signs, what indicates the number of positive real zeros?
The number of terms in the polynomial
The number of sign changes in the polynomial
The sum of the coefficients
The degree of the polynomial
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