Opener : Dividing Monomials

Opener : Dividing Monomials

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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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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