Rational zero theorem (Polynomial functions)
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Rational Zero Theorem?
Back
The Rational Zero Theorem states that if a polynomial has rational roots, they can be expressed as the ratio of factors of the constant term (p) to factors of the leading coefficient (q).
Tags
CCSS.HSA.APR.B.2
2.
FLASHCARD QUESTION
Front
What does 'p' represent in the Rational Zero Theorem?
Back
In the Rational Zero Theorem, 'p' represents the factors of the constant term of the polynomial.
Tags
CCSS.HSA.APR.B.2
3.
FLASHCARD QUESTION
Front
What does 'q' represent in the Rational Zero Theorem?
Back
In the Rational Zero Theorem, 'q' represents the factors of the leading coefficient of the polynomial.
Tags
CCSS.HSA.APR.B.2
4.
FLASHCARD QUESTION
Front
How do you determine the possible rational zeros of a polynomial?
Back
To determine possible rational zeros, list all factors of the constant term (p) and all factors of the leading coefficient (q), then form all possible fractions p/q.
5.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
Synthetic division is a simplified form of polynomial long division used to divide a polynomial by a linear factor of the form (x - c).
Tags
CCSS.HSA.APR.D.6
6.
FLASHCARD QUESTION
Front
How can you verify if a number is a root of a polynomial?
Back
To verify if a number is a root, substitute it into the polynomial. If the result is zero, then it is a root.
7.
FLASHCARD QUESTION
Front
What is the maximum number of real zeros a polynomial can have?
Back
The maximum number of real zeros a polynomial can have is equal to its degree.
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