Dividing Polynomials by a Monomial

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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.

Front

How do you divide a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide the coefficients of each term and subtract the exponents of the variables.

Front

What happens to the coefficients when dividing by a monomial?

Back

The coefficients of each term in the polynomial are divided by the coefficient of the monomial.

Front

What happens to the exponents when dividing by a monomial?

Back

The exponents of the variables in each term of the polynomial are subtracted by the exponent of the variable in the monomial.

Front

What is the result of dividing 6x^3 by 2x?

Back

The result is 3x^2.

Front

What is the result of dividing 4x^2y by 2y?

Back

The result is 2x^2.

Front

What is the result of dividing x^4y^3 by xy?

Back

The result is x^3y^2.

Front

What is the first step in dividing polynomials by monomials?

Back

The first step is to divide the coefficients of the terms.

Front

What is the second step in dividing polynomials by monomials?

Back

The second step is to subtract the exponents of the variables.