Polynomial Operations
Flashcard
•
Mathematics
•
9th - 11th 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 that consists of variables, coefficients, and non-negative integer exponents. For example, 3x^2 + 2x - 5 is a polynomial.
2.
FLASHCARD QUESTION
Front
What are the degrees of polynomials?
Back
The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2 - x, the degree is 3.
3.
FLASHCARD QUESTION
Front
What is the sum of two polynomials?
Back
The sum of two polynomials is obtained by adding their corresponding coefficients. For example, (2x^2 + 3x) + (4x^2 + 5) = 6x^2 + 3x + 5.
4.
FLASHCARD QUESTION
Front
What is the product of two binomials?
Back
The product of two binomials can be found using the distributive property or the FOIL method. For example, (a + b)(c + d) = ac + ad + bc + bd.
5.
FLASHCARD QUESTION
Front
What is the difference between two polynomials?
Back
The difference between two polynomials is found by subtracting the corresponding coefficients. For example, (5x^2 + 3) - (2x^2 + 1) = 3x^2 + 2.
6.
FLASHCARD QUESTION
Front
What is the standard form of a polynomial?
Back
The standard form of a polynomial is written in descending order of the degrees of its terms. For example, 4x^3 + 2x^2 - x + 5 is in standard form.
7.
FLASHCARD QUESTION
Front
What is the leading coefficient of a polynomial?
Back
The leading coefficient is the coefficient of the term with the highest degree in a polynomial. For example, in 3x^4 + 2x^3 - x, the leading coefficient is 3.
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