Rational Root Theorem

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Rational Root Theorem?
Back
The Rational Root Theorem states that any rational solution (or root) of a polynomial equation, in the form of p/q, is such that p is a factor of the constant term and q is a factor of the leading coefficient.
Tags
CCSS.HSA.APR.B.2
2.
FLASHCARD QUESTION
Front
How do you determine possible rational roots using the Rational Root Theorem?
Back
List all factors of the constant term (p) and all factors of the leading coefficient (q). The possible rational roots are then the combinations of these factors in the form p/q.
Tags
CCSS.HSA.APR.B.2
3.
FLASHCARD QUESTION
Front
What is a factor of a polynomial?
Back
A factor of a polynomial is a polynomial of lower degree that divides the polynomial without leaving a remainder.
Tags
CCSS.HSA.APR.B.2
4.
FLASHCARD QUESTION
Front
What does it mean if (x - r) is a factor of f(x)?
Back
If (x - r) is a factor of f(x), then f(r) = 0, meaning r is a root of the polynomial.
Tags
CCSS.HSA.APR.B.2
5.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
Synthetic division is a simplified form of polynomial long division that is used to divide a polynomial by a linear factor of the form (x - r).
Tags
CCSS.HSA.APR.D.6
6.
FLASHCARD QUESTION
Front
How do you set up synthetic division?
Back
Write the coefficients of the polynomial in a row. If there are missing degrees, use 0 as the coefficient for those degrees. Use the root r to the left of the coefficients.
Tags
CCSS.HSA.APR.D.6
7.
FLASHCARD QUESTION
Front
What is the remainder theorem?
Back
The remainder theorem states that the remainder of the division of a polynomial f(x) by (x - r) is equal to f(r).
Tags
CCSS.HSA.APR.B.2
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