Polynomial Review
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a polynomial?
Back
A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^3 - 5x + 7 is a polynomial.
2.
FLASHCARD QUESTION
Front
What is the degree of a polynomial?
Back
The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 4x^3 + 2x^2 - x + 5, the degree is 3.
3.
FLASHCARD QUESTION
Front
What is polynomial long division?
Back
Polynomial long division is a method used to divide a polynomial by another polynomial of the same or lower degree, similar to numerical long division.
4.
FLASHCARD QUESTION
Front
How do you find the value of a polynomial function at a specific point?
Back
To find the value of a polynomial function f(x) at a specific point x = a, substitute a into the polynomial and simplify. For example, if f(x) = 2x^3 - 5x^2 + 3x + 7, then f(2) = 9.
5.
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. For example, if f(x) = x^2 - 4, then x = 2 and x = -2 are zeros.
6.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
Synthetic division is a simplified form of polynomial long division used when dividing by a linear factor of the form (x - c). It is faster and requires less writing.
7.
FLASHCARD QUESTION
Front
What is the Remainder Theorem?
Back
The Remainder Theorem states that if a polynomial f(x) is divided by (x - c), the remainder of that division is f(c).
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