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 testing potential factors of a polynomial without a calculator?
Begin with positive 1 and then test negative 1
Use the quadratic formula
Start with the largest factor
Check only the positive factors
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which theorem helps verify if a number is a factor of a polynomial?
Pythagorean Theorem
Binomial Theorem
Factor Theorem
Remainder Theorem
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of synthetic division when testing if 1 is a factor?
The remainder is 1
The remainder is 0
The remainder is 6
The remainder is -1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of polynomial is being discussed in the factorization process?
Quartic
Cubic
Linear
Quadratic
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be used when a polynomial is not factorable by simple methods?
Graphical method
Long division
Quadratic formula
Synthetic division
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to Descartes' Rule of Signs, what does one sign change indicate?
One real positive zero
Two real positive zeros
No real zeros
One complex zero
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does Descartes' Rule of Signs help determine?
The sum of the coefficients
The product of the roots
The number of real zeros
The degree of the polynomial
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