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 consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 4x^3 + 3x^2 - 2x + 1 is a polynomial.
2.
FLASHCARD QUESTION
Front
What does it mean to simplify a polynomial expression?
Back
Simplifying a polynomial expression means combining like terms to reduce the expression to its simplest form.
3.
FLASHCARD QUESTION
Front
What are like terms in a polynomial?
Back
Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.
4.
FLASHCARD QUESTION
Front
How do you add polynomials?
Back
To add polynomials, combine like terms by adding their coefficients.
5.
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 expression. For example, in 4x^3 + 2x^2 - x, the degree is 3.
6.
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 (First, Outside, Inside, Last). For example, (a + b)(c + d) = ac + ad + bc + bd.
7.
FLASHCARD QUESTION
Front
What is the difference between a monomial and a polynomial?
Back
A monomial is a polynomial with only one term, while a polynomial can have multiple terms. For example, 3x is a monomial, while 3x + 2 is a polynomial.
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