Dividing Polynomials by a Monomial

Front

When I am dividing by a monomial, I should _______ the coefficients and ________ the exponents for each term.

Back

divide, subtract

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

How do you divide a polynomial by a monomial?

Back

You divide each term of the polynomial by the monomial.

Front

What happens to the coefficients when dividing by a monomial?

Back

The coefficients are divided by the coefficient of the monomial.

Front

What happens to the exponents when dividing by a monomial?

Back

The exponent of the variable in the polynomial term is subtracted by the exponent of the variable in the monomial.

Front

If you divide 6x^3 by 2x, what is the result?

Back

3x^2

Front

If you divide 10x^4y^2 by 5xy, what is the result?

Back

2x^3y

Front

What is the result of dividing x^5 by x^2?

Back

x^3

Front

What is the result of dividing 4x^2y^3 by 2y?

Back

2x^2y^2