Opener : Dividing Monomials
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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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 raised to non-negative integer powers.
2.
FLASHCARD QUESTION
Front
What does it mean to divide a polynomial by a monomial?
Back
Dividing a polynomial by a monomial involves distributing the division across each term of the polynomial and simplifying the resulting expression.
3.
FLASHCARD QUESTION
Front
How do you simplify the expression 16x^4 + 8x^3 - 4x^2 divided by 4x^2?
Back
You divide each term of the polynomial by the monomial: (16x^4)/(4x^2) + (8x^3)/(4x^2) - (4x^2)/(4x^2) = 4x^2 + 2x - 1.
4.
FLASHCARD QUESTION
Front
What is the result of dividing 81x^9 - 54x^6 + 27x^3 by 9x?
Back
The result is 9x^8 - 6x^5 + 3x^2.
5.
FLASHCARD QUESTION
Front
What is the first step in dividing a polynomial by a monomial?
Back
The first step is to identify the leading term of the polynomial and divide it by the monomial.
6.
FLASHCARD QUESTION
Front
What is the quotient of 6x^2 + 12x divided by 3x?
Back
The quotient is 2x + 4.
7.
FLASHCARD QUESTION
Front
How do you handle coefficients when dividing polynomials by monomials?
Back
You divide the coefficients of the terms separately, just as you would with numbers.
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