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 an algebraic expression that consists of one term, which can be a number, a variable, or a product of numbers and variables.

Front

What is the first step in dividing a polynomial by a monomial?

Back

The first step is to divide each term of the polynomial by the monomial.

Front

If you have the polynomial 6x^3 + 9x^2 - 3x and you divide it by 3x, what is the result?

Back

2x^2 + 3x - 1.

Front

What happens to the exponents when dividing like bases?

Back

When dividing like bases, you subtract the exponent of the denominator from the exponent of the numerator.

Front

What is the result of dividing 12x^4 by 4x?

Back

3x^3.

Front

If you divide 15x^5 + 10x^3 by 5x, what do you get?

Back

3x^4 + 2x^2.

Front

What is the rule for dividing coefficients in polynomial division?

Back

You divide the coefficients of the terms.

Front

How do you handle a polynomial term that cannot be divided by the monomial?

Back

You leave that term as is in the result.

Front

What is the result of dividing 8x^2y^3 by 4xy?

Back

2xy^2.