Operations with Polynomials

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•
Mathematics
•
7th - 12th Grade
•
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 are the degrees of polynomials?
Back
The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2 - 7, the degree is 3.
3.
FLASHCARD QUESTION
Front
How do you add polynomials?
Back
To add polynomials, combine like terms. For example, (2x^2 + 3x) + (4x^2 + 5) = 6x^2 + 3x + 5.
4.
FLASHCARD QUESTION
Front
What is the process of subtracting polynomials?
Back
To subtract polynomials, distribute the negative sign and then combine like terms. For example, (3x^2 + 4) - (2x^2 + 1) = x^2 + 3.
5.
FLASHCARD QUESTION
Front
What does it mean to multiply polynomials?
Back
Multiplying polynomials involves using the distributive property to multiply each term in one polynomial by each term in the other. For example, (x + 2)(x + 3) = x^2 + 5x + 6.
6.
FLASHCARD QUESTION
Front
What is a binomial?
Back
A binomial is a polynomial with exactly two terms, such as 3x + 4 or x^2 - y.
7.
FLASHCARD QUESTION
Front
What is a trinomial?
Back
A trinomial is a polynomial with exactly three terms, such as x^2 + 5x + 6.
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