Polynomial Operations

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
+4
Standards-aligned
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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, 2x^2 + 3x - 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 - x, the degree is 3.
3.
FLASHCARD QUESTION
Front
How do you add polynomials?
Back
To add polynomials, combine like terms by adding their coefficients. For example, (3x^2 + 2x) + (4x^2 + 5) = 7x^2 + 5.
Tags
CCSS.HSA.APR.A.1
4.
FLASHCARD QUESTION
Front
How do you subtract polynomials?
Back
To subtract polynomials, distribute the negative sign and then combine like terms. For example, (5x^2 - 3) - (2x^2 + 4) = 3x^2 - 7.
Tags
CCSS.HSA.APR.A.1
5.
FLASHCARD QUESTION
Front
What is the product of two polynomials?
Back
The product of two polynomials is found by using the distributive property (FOIL for binomials). For example, (x + 2)(x + 3) = x^2 + 5x + 6.
Tags
CCSS.HSA.APR.A.1
6.
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.
Tags
CCSS.6.EE.A.2B
7.
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.
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