Using long division to divide polynomials

The video tutorial guides students through a polynomial division problem, emphasizing the importance of place value and standard form. The teacher uses color coding to help students follow along and encourages them to ask questions if they encounter difficulties. The process is broken down into detailed steps, ensuring clarity and understanding. The tutorial concludes with the final answer and a reminder of the steps involved.

What is the first step in setting up a polynomial division problem?

• Multiply the polynomial by the divisor

• Add zero terms for missing degrees

• Write the polynomial in standard form

• Identify the leading coefficient

Why is it helpful to add zero terms for missing degrees in a polynomial?

• It reduces the number of steps needed

• It provides place value for easier calculation

• It simplifies the division process

• It changes the polynomial's value

When dividing polynomials, what should you do after multiplying the divisor by the current term?

• Multiply the result by the next term

• Subtract the result from the dividend

• Add the result to the dividend

• Divide the result by the next term

What is the purpose of subtracting the entire row during polynomial division?

• To simplify the divisor

• To find the remainder

• To eliminate the leading term

• To add the next term

How do you handle a negative result during polynomial division?

• Convert it to a positive by adding a double negative

• Add it to the next term

• Ignore it and move to the next term

• Subtract it from the next term

What is the final result of the polynomial division in the tutorial?

• 2Y^5 - Y^4 + Y^3 + Y^2 - Y - 3

• 2Y^5 + Y^4 - Y^3 + Y^2 + Y + 3

• Y^5 - 2Y^4 + Y^3 - Y^2 + Y + 3

• Y^5 + Y^4 - Y^3 + Y^2 - Y - 3

What is the remainder when the polynomial division is completed?

• Negative one

• Five

• One

• Zero