Adding and Subtracting Polynomials

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
Wayground Content
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14 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, combined using addition, subtraction, and multiplication.
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 the polynomial 4x^3 + 2x^2 - x + 5, the degree is 3.
3.
FLASHCARD QUESTION
Front
How do you add polynomials?
Back
To add polynomials, combine like terms by adding their coefficients. For example, (3x^2 + 2x) + (4x^2 + 5) = (3 + 4)x^2 + 2x + 5 = 7x^2 + 2x + 5.
4.
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.
5.
FLASHCARD QUESTION
Front
What is the process for subtracting polynomials?
Back
To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms. For example, (3x^2 + 2x) - (x^2 + 5) = (3x^2 - x^2) + 2x - 5 = 2x^2 + 2x - 5.
6.
FLASHCARD QUESTION
Front
What is the standard form of a polynomial?
Back
The standard form of a polynomial is when the terms are arranged in descending order of their degrees. For example, 4x^3 + 2x^2 - x + 5 is in standard form.
7.
FLASHCARD QUESTION
Front
How do you simplify the expression -4(9 + 3x) - 4(x - 2)?
Back
Distribute the -4: -36 - 12x - 4x + 8 = -16x - 28.
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