Fundamental Theorem of Algebra

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+1
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1.
FLASHCARD QUESTION
Front
What does the Fundamental Theorem of Algebra state?
Back
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
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 the variable.
3.
FLASHCARD QUESTION
Front
What are the zeros of the polynomial f(x) = x^2 + 9x + 14?
Back
The zeros are -2 and -7.
4.
FLASHCARD QUESTION
Front
If a polynomial has 4 real roots and 2 complex roots, what is its degree?
Back
The degree of the polynomial is 6.
Tags
CCSS.HSN.CN.C.9
5.
FLASHCARD QUESTION
Front
What is the least degree of a polynomial that can have 5 as its highest root count?
Back
The least degree of the polynomial is 5.
6.
FLASHCARD QUESTION
Front
What is the remainder when dividing a polynomial by a linear factor?
Back
The remainder can be found using polynomial long division or synthetic division.
Tags
CCSS.HSA.APR.D.6
7.
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.
Tags
CCSS.HSA.APR.D.6
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