Fundamental Theorem of Algebra

Flashcard
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Mathematics
•
11th - 12th Grade
•
Easy
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1.
FLASHCARD QUESTION
Front
What is the Fundamental Theorem of Algebra?
Back
The Fundamental Theorem of Algebra states that every non-constant polynomial equation of degree n has exactly n roots in the complex number system, counting multiplicities.
Tags
CCSS.HSN.CN.C.9
2.
FLASHCARD QUESTION
Front
Define a polynomial's degree.
Back
The degree of a polynomial is the highest power of the variable in the polynomial expression.
3.
FLASHCARD QUESTION
Front
What are the possible types of roots for a polynomial of degree 6?
Back
A polynomial of degree 6 can have 0, 2, 4, or 6 real roots, and the remaining roots will be imaginary, occurring in conjugate pairs.
Tags
CCSS.HSN.CN.C.9
4.
FLASHCARD QUESTION
Front
What is a zero of a polynomial?
Back
A zero of a polynomial is a value of x that makes the polynomial equal to zero.
Tags
CCSS.HSF-IF.C.7C
5.
FLASHCARD QUESTION
Front
How do you find the zeros of a polynomial?
Back
To find the zeros of a polynomial, set the polynomial equal to zero and solve for x.
6.
FLASHCARD QUESTION
Front
What is multiplicity in relation to polynomial roots?
Back
Multiplicity refers to the number of times a particular root appears in the factorization of a polynomial.
Tags
CCSS.HSN.CN.C.9
7.
FLASHCARD QUESTION
Front
If a polynomial has a root of 3 with multiplicity 2, what does this mean?
Back
It means that (x - 3)² is a factor of the polynomial, indicating that the root 3 is repeated twice.
Tags
CCSS.HSF-IF.C.7C
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