Adding, Subtracting, and Multiplying Polynomials

Flashcard
•
Mathematics
•
9th - 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 consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 4x^3 - 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, which are terms that have the same variable raised to the same power.
3.
FLASHCARD QUESTION
Front
What does it mean to subtract polynomials?
Back
Subtracting polynomials involves changing the signs of the terms in the polynomial being subtracted and then combining like terms.
4.
FLASHCARD QUESTION
Front
How do you multiply polynomials?
Back
To multiply polynomials, use the distributive property (also known as the FOIL method for binomials) to multiply each term in the first polynomial by each term in the second polynomial.
5.
FLASHCARD QUESTION
Front
What is a like term?
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.
6.
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 polynomial. For example, in the polynomial 4x^3 - 2x + 7, the degree is 3.
7.
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.
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