Adding, Subtracting, and Multiplying Polynomials
Flashcard
•
Mathematics
•
7th - 9th 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 does it mean to combine like terms in a polynomial?
Back
Combining like terms means to add or subtract terms that have the same variable raised to the same power. For example, in 3x + 2x, you can combine to get 5x.
3.
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 - x, the degree is 3.
4.
FLASHCARD QUESTION
Front
How do you simplify the expression (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)?
Back
To simplify, combine like terms: (4n^4 - 4n^4) - 8n^2 - 8n + (4 - 1) = -8n^2 - 8n + 3.
5.
FLASHCARD QUESTION
Front
What is the result of adding the polynomials (4v^3 + 3v - 8v^4) + (4v - 8v^4 - 7)?
Back
The result is -16v^4 + 4v^3 + 7v - 7.
6.
FLASHCARD QUESTION
Front
What is a monomial?
Back
A monomial is a polynomial with only one term, such as 5x^2 or -3y.
7.
FLASHCARD QUESTION
Front
What is the product of a monomial and a polynomial?
Back
To find the product, multiply the monomial by each term in the polynomial. For example, -x^3(2x^3 - x^2 + 5) = -2x^6 + x^5 - 5x^3.
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