Classifying, Adding/Subtracting, and Multiplying Polynomials

Flashcard
•
Mathematics
•
8th - 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, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.
2.
FLASHCARD QUESTION
Front
How do you classify a polynomial by degree?
Back
Polynomials are classified by their degree, which is the highest power of the variable in the expression. For example, a polynomial of degree 2 is called a quadratic.
3.
FLASHCARD QUESTION
Front
What are the different classifications of polynomials based on the number of terms?
Back
Polynomials can be classified as monomials (1 term), binomials (2 terms), and trinomials (3 terms). Polynomials with more than three terms are simply called polynomials.
4.
FLASHCARD QUESTION
Front
What is the degree of the polynomial 5x^3 + 2x^2 - x + 7?
Back
The degree of the polynomial is 3, which is the highest exponent of the variable x.
5.
FLASHCARD QUESTION
Front
How do you add polynomials?
Back
To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.
6.
FLASHCARD QUESTION
Front
What is the result of subtracting the polynomial (3x^2 + 4x) - (2x^2 + x)?
Back
The result is x^2 + 3x.
7.
FLASHCARD QUESTION
Front
What is the formula for the area of a rectangle?
Back
The area of a rectangle is calculated using the formula: Area = length × width.
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