Learn how to apply long division when you do not have a remainder

The video tutorial explains the process of polynomial long division, emphasizing the importance of arranging terms in descending order and using placeholders for missing terms. It details the algorithmic steps involved, including division, multiplication, and subtraction, while highlighting common mistakes students make. The tutorial concludes by demonstrating how to achieve a remainder of zero, indicating that the divisor evenly divides the polynomial.

Why is it important to arrange polynomial terms in descending order during long division?

• To avoid using placeholders

• To make the division faster

• To ensure all terms are accounted for

• To simplify the multiplication process

What is the first step in the polynomial long division process?

• Subtracting the terms

• Multiplying the divisor by the dividend

• Dividing the first term of the dividend by the first term of the divisor

• Adding the terms

What should you do after dividing the first term of the dividend by the first term of the divisor?

• Divide the result by the next term

• Subtract the result from the divisor

• Multiply the result by each term of the divisor

• Add the result to the dividend

Why is it important to say the subtraction out loud during polynomial long division?

• To ensure you are subtracting correctly

• To make the division more accurate

• To speed up the process

• To avoid using placeholders

What common mistake do students make during the subtraction step in long division?

• Dividing instead of subtracting

• Using placeholders incorrectly

• Adding instead of subtracting

• Multiplying instead of subtracting

How do you handle negative terms during the continuation of the division process?

• Ignore them

• Subtract them as positive terms

• Add them to the dividend

• Multiply them by the divisor

What does a remainder of zero indicate in polynomial long division?

• The division is incorrect

• The divisor does not evenly divide the dividend

• The divisor evenly divides the dividend

• The dividend is larger than the divisor