Learn how to apply the long division algorithm divide two polynomials

The video tutorial explains the process of long division using a polynomial example. It begins with setting up the division problem and ensuring the terms are in descending order. The instructor then demonstrates dividing the first term, multiplying, and subtracting to simplify the expression. The tutorial also covers handling the remainder and concludes with the final answer. Throughout the video, the instructor provides detailed explanations and clarifications to ensure understanding.

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

• Find the remainder first

• Multiply the divisor by the dividend

• Arrange the terms in ascending order

• Rewrite the expression using the division algorithm

When dividing the first term of the dividend by the first term of the divisor, what should you do next?

• Ignore the remainder

• Add the terms together

• Multiply the quotient by each term of the divisor

• Subtract the divisor from the dividend

What is the result of subtracting the rows in polynomial long division?

• A remainder that is always zero

• A new polynomial with higher degree

• The same polynomial as the dividend

• A new polynomial with lower degree

How do you handle the remainder in polynomial long division?

• Ignore it completely

• Add it to the quotient

• Subtract it from the quotient

• Multiply it by the divisor

What does the final answer in polynomial long division consist of?

• The quotient and the remainder

• Only the remainder

• The divisor and the remainder

• Only the quotient