Flashcard 6.7
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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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 complex roots, counting multiplicities.
2.
FLASHCARD QUESTION
Front
How do you determine the number of complex roots for a polynomial?
Back
The number of complex roots of a polynomial is equal to its degree. For example, a polynomial of degree 5 has 5 complex roots.
3.
FLASHCARD QUESTION
Front
What is a polynomial equation?
Back
A polynomial equation is an equation that involves a polynomial expression, which is a sum of terms, each consisting of a variable raised to a non-negative integer power multiplied by a coefficient.
4.
FLASHCARD QUESTION
Front
Back
The polynomial has 5 complex roots.
5.
FLASHCARD QUESTION
Front
What is the process to solve a cubic equation algebraically?
Back
To solve a cubic equation algebraically, you can use methods such as factoring, synthetic division, or applying the cubic formula.
6.
FLASHCARD QUESTION
Front
Back
7.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in polynomial equations?
Back
The discriminant helps determine the nature of the roots of a polynomial. A positive discriminant indicates distinct real roots, zero indicates a repeated real root, and a negative discriminant indicates complex roots.
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