Solving Higher Order Polynomials

Flashcard
•
Mathematics
•
11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the relationship between the degree of a polynomial and the number of roots?
Back
The degree of a polynomial determines the maximum number of roots the polynomial can have.
2.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
Synthetic division is a simplified method for dividing higher order polynomials by linear factors.
Tags
CCSS.HSA.APR.D.6
3.
FLASHCARD QUESTION
Front
What is the factored form of a polynomial?
Back
The factored form of a polynomial expresses it as a product of its linear factors.
4.
FLASHCARD QUESTION
Front
What does the degree of a polynomial indicate?
Back
The degree of a polynomial indicates the highest power of the variable in the polynomial.
5.
FLASHCARD QUESTION
Front
Can a polynomial of degree n have more than n roots?
Back
No, a polynomial of degree n can have at most n roots.
6.
FLASHCARD QUESTION
Front
What is the maximum number of solutions for the polynomial f(x) = 5x^4 + 2x^3 + 2x - 7?
Back
The maximum number of solutions is 4.
7.
FLASHCARD QUESTION
Front
What is the role of the leading coefficient in a polynomial?
Back
The leading coefficient determines the end behavior of the polynomial's graph.
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