What is a zero of a function?
EOC Review Math III

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Mathematics
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9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A zero of a function is a value of x for which the function f(x) = 0. It represents the x-intercepts of the graph of the function.
2.
FLASHCARD QUESTION
Front
How do you find the zeros of a polynomial function?
Back
To find the zeros of a polynomial function, set the function equal to zero and solve for x using factoring, the quadratic formula, or numerical methods.
3.
FLASHCARD QUESTION
Front
What is the Remainder Theorem?
Back
The Remainder Theorem states that when a polynomial f(x) is divided by (x - c), the remainder is f(c).
4.
FLASHCARD QUESTION
Front
What is the Factor Theorem?
Back
The Factor Theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.
5.
FLASHCARD QUESTION
Front
How do you determine the number of real zeros of a polynomial?
Back
The number of real zeros can be determined by analyzing the degree of the polynomial and using the Descartes' Rule of Signs or by graphing the function.
6.
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 of the form (x - c).
7.
FLASHCARD QUESTION
Front
What is the significance of complex roots in polynomials?
Back
Complex roots occur in conjugate pairs and indicate that the polynomial does not cross the x-axis at those points. They contribute to the overall degree of the polynomial.
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