Dividing Polynomials and Monomials

The video tutorial explains how to divide a polynomial by a monomial by breaking it into individual fractions. It demonstrates the process with examples, showing how to simplify each fraction by dividing coefficients and subtracting exponents. The tutorial also covers dividing a trinomial by a monomial, emphasizing the simplification of each resulting fraction. The video aims to help viewers understand the method and apply it to similar problems.

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

• Subtract the monomial from each term of the polynomial

• Divide each term of the polynomial by the monomial

• Add the monomial to each term of the polynomial

• Multiply each term of the polynomial by the monomial

When dividing 45x^8 by 15x^6, what is the result?

• 3x^2

• 3x^14

• 30x^2

• 15x^2

How do you simplify x^8 divided by x^6?

• x^4

• x^12

• x^2

• x^14

What is the result of dividing 15x^12 by 15x^6?

• x^8

• x^2

• x^6

• x^18

In the trinomial division example, how many separate division problems are created?

• Four

• Three

• Two

• One

What is the simplified form of 8y^5 divided by 2y^2?

• 8y^3

• 2y^3

• 4y^7

• 4y^3

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

• 2y^6

• 4y^2

• 2y^2

• y^2

What is the final simplified expression for the trinomial division example?

• 4y^3 - 2y^2 - 1

• 4y^3 + 2y^2 - 1

• 4y^3 + 2y^2 + 1

• 4y^3 - 2y^2 + 1