Add and Subtract Polynomials

Flashcard
•
Mathematics
•
KG - University
•
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 + 1 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 + 3) + (4x + 5) = 6x + 8.
3.
FLASHCARD QUESTION
Front
What does it mean to subtract polynomials?
Back
Subtracting polynomials involves taking the difference of like terms from two polynomial expressions. For example, (5x + 7) - (2x + 3) = 3x + 4.
4.
FLASHCARD QUESTION
Front
What are like terms?
Back
Like terms are terms in a polynomial that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.
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 + 5, the degree is 3.
6.
FLASHCARD QUESTION
Front
How do you combine like terms?
Back
To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 4x = 7x.
7.
FLASHCARD QUESTION
Front
What is the result of (13x + 30) - (20x + 6)?
Back
The result is -7x + 24.
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