How to use long division to divide polynomials

This video tutorial demonstrates how to use long division to divide polynomials, specifically focusing on dividing U^2 + 5U - 12 by U - 3. The instructor explains the setup of the problem, the step-by-step process of performing long division with polynomials, and how to handle remainders. The tutorial concludes with the final answer, emphasizing the importance of following the algorithm correctly to avoid common mistakes.

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

• Multiply the divisor by the dividend.

• Arrange the dividend in descending order.

• Arrange the dividend in ascending order.

• Ensure the divisor is a constant.

When dividing U^2 by U, what is the result?

• U

• 0

• 1

• U^3

Why is it important to use parentheses during subtraction in polynomial division?

• To divide the terms correctly.

• To add the terms correctly.

• To ensure both terms are subtracted.

• To multiply the terms correctly.

What should you do if there is a remainder after completing the division?

• Add the remainder to the quotient.

• Multiply the remainder by the divisor.

• Ignore the remainder.

• Express the remainder as a fraction over the divisor.

What is the final form of the answer in polynomial long division?

• Remainder times divisor.

• Quotient only.

• Quotient minus remainder.

• Quotient plus remainder divided by divisor.