What does the Complex Factorization Theorem state about the zeros of a polynomial function?

Polynomial Functions and Their Zeros

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Mathematics
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9th - 12th Grade
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Hard

Jackson Turner
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A polynomial of degree n has n real zeros.
A polynomial of degree n has n distinct zeros.
A polynomial of degree n has n rational zeros.
A polynomial of degree n has n complex zeros, counting multiplicity.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the Rational Roots Theorem, where do the potential rational roots of a polynomial come from?
The ratio of the factors of the leading coefficient to the factors of the constant term.
The sum of the factors of the constant term and the leading coefficient.
The difference between the factors of the constant term and the leading coefficient.
The ratio of the factors of the constant term to the factors of the leading coefficient.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of finding an x-intercept on the graph of a polynomial function?
It indicates a real zero.
It indicates a rational zero.
It indicates an irrational zero.
It indicates a complex zero.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in synthetic division when dividing a polynomial by a factor?
List the coefficients of the polynomial.
Multiply the leading coefficient by the divisor.
Add the coefficients of the polynomial.
Subtract the divisor from the polynomial.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the remainder when a polynomial is exactly divisible by a factor?
The remainder is equal to the dividend.
The remainder is zero.
The remainder is equal to the divisor.
The remainder is one.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to find the zeros of a quadratic factor that cannot be factored?
The Quadratic Formula
The Linear Factorization Theorem
The Complex Factorization Theorem
The Rational Roots Theorem
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the values of A, B, and C in the quadratic formula for the polynomial x^2 - 6x + 6?
A = -6, B = 1, C = 6
A = 6, B = 1, C = -6
A = 1, B = -6, C = 6
A = 1, B = 6, C = -6
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