Dividing Polynomials and Monomials

This video is the first in a series on polynomial division, focusing on dividing by a monomial. It explains the process of dividing each term of a polynomial by a monomial, using examples to illustrate the concept. The video covers the quotient rule for exponents and demonstrates how to simplify expressions. It also addresses more complex cases involving polynomials with multiple variables. The video concludes with a preview of upcoming topics, including division by binomials and other methods.

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

• Multiply each term by the monomial

• Divide each term by the monomial

• Subtract the monomial from each term

• Add the monomial to each term

In the example 1 + 2 over 3, how can it be rewritten?

• 1/3 + 2/3

• 3/1

• 1/2 + 2/1

• 2/3 + 1/3

What is the result of dividing 40x^4 by 4x?

• 40x^3

• 10x^3

• 10x^4

• 4x^3

How do you simplify 24x^2 divided by 4x?

• 6x

• 6x^2

• 4x^2

• 24x

What is the simplified form of 32y^6 divided by 4y^2?

• 8y^4

• 4y^4

• 8y^6

• 32y^4

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

• 2y

• 8y

• 2y^2

• 4y

How do you simplify 2y^2 divided by 4y^2?

• 4

• 1

• 2

• 1/2

What is the first step in simplifying a fraction with a polynomial numerator and a monomial denominator?

• Subtract the coefficients

• Divide the coefficients

• Multiply the coefficients

• Add the coefficients

What is the result of dividing 12x^3y^7 by -3xy^2?

• 4xy^5

• -4xy^5

• 4x^2y^5

• -4x^2y^5

What will the next videos in the series cover?

• Adding polynomials

• Dividing by a trinomial

• Dividing by a binomial

• Multiplying polynomials