Adding and Subtracting Polynomials

Flashcard
•
Mathematics
•
9th Grade
•
Hard
Wayground Content
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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^2 + 3x - 5 is a polynomial.
2.
FLASHCARD QUESTION
Front
What does it mean to add polynomials?
Back
Adding polynomials involves combining like terms from two or more polynomial expressions. For example, (2x^2 + 3x) + (4x^2 + 5) = (2x^2 + 4x^2) + 3x + 5 = 6x^2 + 3x + 5.
3.
FLASHCARD QUESTION
Front
What are like terms in polynomials?
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, while 3x^2 and 4x are not.
4.
FLASHCARD QUESTION
Front
How do you subtract polynomials?
Back
Subtracting polynomials involves distributing the negative sign to the second polynomial and then combining like terms. For example, (3x^2 + 2x) - (x^2 + 4) = (3x^2 - x^2) + 2x - 4 = 2x^2 + 2x - 4.
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 the polynomial 4x^3 - 2x^2 + 5, the degree is 3.
6.
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 5x^4 + 3x^2 - 2, the leading coefficient is 5.
7.
FLASHCARD QUESTION
Front
How do you combine like terms?
Back
To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent. For example, 3x + 4x = 7x.
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