The video tutorial explains how to solve a polynomial division problem using long division. It begins with setting up the problem and emphasizes the importance of using placeholders to avoid errors. The instructor then demonstrates the step-by-step process of dividing polynomials, including how to handle remainders. The tutorial concludes with a summary of the division process and the final result.

What is the purpose of using placeholders in polynomial long division?

• To make the division process faster

• To avoid using synthetic division

• To ensure all terms are accounted for

• To simplify the multiplication step

When dividing 2X^2 into 6X^3, what is the first term of the quotient?

• 2X

• 6X

• X

• 3X

What operation is performed after multiplying the divisor by the current quotient term?

• Subtraction

• Multiplication

• Addition

• Division

What is the remainder when 2X^2 is divided into -2X?

• 3

• 5

• 0

• -2X

How is the final quotient expressed in terms of the remainder?

• Quotient times remainder over divisor

• Quotient plus remainder over divisor

• Quotient divided by remainder over divisor

• Quotient minus remainder over divisor