
Multiplying Polynomials by Monomials
Flashcard
•
Mathematics
•
8th Grade - University
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a monomial?
Back
A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables (e.g., 3x, -5, 7xy).
2.
FLASHCARD QUESTION
Front
What is a polynomial?
Back
A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication (e.g., 2x^2 + 3x + 5).
3.
FLASHCARD QUESTION
Front
How do you multiply a monomial by a polynomial?
Back
To multiply a monomial by a polynomial, distribute the monomial to each term of the polynomial and combine like terms if necessary.
4.
FLASHCARD QUESTION
Front
What is the distributive property?
Back
The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a sum.
5.
FLASHCARD QUESTION
Front
Multiply: 3x(2x^2 + 9x + 6)
Back
6x^3 + 27x^2 + 18x.
6.
FLASHCARD QUESTION
Front
Multiply: -2x(5x^2 + 8)
Back
-10x^3 - 16x.
7.
FLASHCARD QUESTION
Front
Multiply: -2x(x^7 + 5)
Back
-2x^8 - 10x.
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