Polynomial Operations

Flashcard
•
Mathematics
•
10th - 11th 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, along with coefficients. For example, 2x^2 + 3x + 1 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 the polynomial 4x^3 + 2x^2 - x + 7, the degree is 3.
3.
FLASHCARD QUESTION
Front
How do you add polynomials?
Back
To add polynomials, combine like terms (terms with the same variable and exponent). For example, (2x^2 + 3x) + (4x^2 + 5) = 6x^2 + 3x + 5.
4.
FLASHCARD QUESTION
Front
How do you subtract polynomials?
Back
To subtract polynomials, distribute the negative sign and then combine like terms. For example, (3x^2 + 4) - (x^2 + 2) = 2x^2 + 2.
5.
FLASHCARD QUESTION
Front
What is the product of two polynomials?
Back
The product of two polynomials is found by using the distributive property (also known as the FOIL method for binomials). For example, (x + 2)(x + 3) = x^2 + 5x + 6.
6.
FLASHCARD QUESTION
Front
What is the difference between a monomial and a polynomial?
Back
A monomial is a polynomial with only one term, while a polynomial can have multiple terms. For example, 3x is a monomial, while 3x + 2 is a polynomial.
7.
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.
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