Polynomial Division Concepts and Operations

The video tutorial by Teacher Gon covers the process of dividing polynomials using long division. It begins with an introduction to the topic, followed by a detailed walkthrough of two example problems. The first problem demonstrates a straightforward division with no remainder, while the second problem includes a remainder. The video concludes with a summary and a call to action for viewers to subscribe to the channel.

What is the first step in dividing polynomials using long division?

• Subtract the terms

• Add the terms

• Divide the leading terms

• Multiply the terms

In the first problem, what is the partial quotient after dividing 6x² by 2x?

• 4x

• 5x

• 2x

• 3x

What should you do after multiplying the terms in polynomial division?

• Add the terms

• Multiply again

• Divide the terms

• Subtract the terms

What is the remainder when 6x² - 2x - 28 is divided by 2x + 4?

• 3

• 2

• 1

• 0

What is the quotient when 6x² - 2x - 28 is divided by 2x + 4?

• 4x - 7

• 2x - 7

• 3x - 7

• 5x - 7

In the second problem, what is the result of dividing 3x³ by 3x?

• x²

• x

• x³

• x⁴

What is the next step after obtaining the partial quotient in polynomial division?

• Divide the terms

• Subtract the terms

• Multiply the terms

• Add the terms

What is the remainder when 3x³ + 4x² - 7x - 5 is divided by 3x - 2?

• -5

• -6

• -7

• -8

How is the final answer expressed when there is a remainder in polynomial division?

• Quotient plus remainder

• Quotient minus remainder

• Quotient plus remainder over divisor

• Quotient minus remainder over divisor

What operation is performed after changing the signs of the terms in polynomial division?

• Addition

• Subtraction

• Multiplication

• Division