Dividing Polynomials with Long Division Techniques

The video tutorial explains how to solve a polynomial division problem using long division. It begins with setting up the problem and emphasizes the importance of using placeholders for missing terms. The tutorial then walks through the division process step-by-step, including dividing the first term, multiplying, and subtracting rows. The process is repeated for the second term, and the video concludes with identifying the remainder and writing the final quotient.

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

• Find the remainder

• Subtract the terms

• Multiply the terms

• Identify the divisor and dividend

Why is it important to use placeholders in long division?

• To simplify the multiplication

• To skip unnecessary steps

• To ensure all degrees are accounted for

• To make the problem look complex

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

• Find the remainder

• Subtract the terms

• Multiply the quotient term by each term in the divisor

• Add the terms

What is the result of 6x cubed minus 6x cubed?

• 6x cubed

• 0x cubed

• 12x cubed

• 3x cubed

What is the next step after subtracting the terms in long division?

• Find the remainder

• Divide the next term

• Multiply the terms

• Add the terms

How many times does 2x squared divide into 10x squared?

• 2 times

• 3 times

• 4 times

• 5 times

What is the result of 8 minus 5 in the context of this division problem?

• 8

• 5

• 3

• 2

What do you do when the divisor no longer divides into the remaining terms?

• Multiply the terms

• Add the terms

• Identify the remainder

• Subtract the terms

How do you write the final quotient with the remainder?

• Quotient divided by remainder over divisor

• Quotient plus remainder over divisor

• Quotient minus remainder over divisor

• Quotient times remainder over divisor

Why is the 0x term not included in the final answer?

• It was a placeholder

• It is incorrect

• It simplifies the answer

• It is not necessary