The video tutorial explains how to divide a quartic trinomial by a linear monomial. It begins by introducing the concept of polynomial division, emphasizing the importance of dividing each term individually. The process is demonstrated with an example, showing how to simplify the expression step-by-step. The lesson concludes with a recap of the key points covered.

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

• Add the monomial to each term of the polynomial

• Subtract the monomial from each term of the polynomial

• Divide the monomial into each term of the polynomial

• Multiply the monomial by each term of the polynomial

In the example given, what is the result of dividing 18X^4 by 3X?

• 6

• 6X

• 6X^2

• 6X^3

What is the simplified form of 12X^2 divided by 3X?

• 3X^2

• 3X

• 4X^2

• 4X

What is the result of dividing 6X by 3X?

• 0

• 1

• 3

• 2

What is the final simplified expression after dividing the entire polynomial by 3X?

• 6X^3 - 4X + 2

• 6X^3 - 3X + 1

• 6X^3 - 4X + 1

• 6X^3 - 3X + 2