Dividing two polynomials using long division algorithm

The video tutorial explains how to perform long division with polynomials, specifically dividing a trinomial into a polynomial with missing terms. The instructor emphasizes the importance of arranging terms in descending order and demonstrates the division process step-by-step, including setting up the division, performing calculations, and handling remainders. The tutorial provides a detailed walkthrough of each step, ensuring clarity in understanding the division of polynomials.

What is the first step in preparing a polynomial division problem?

• Multiply all terms by the highest exponent

• Arrange the terms in descending order

• Divide all terms by the lowest exponent

• Arrange the terms in ascending order

Why is it helpful to write down all place values for the dividend?

• To simplify the multiplication process

• To make the problem more complex

• To avoid using negative numbers

• To ensure all terms are accounted for

What is the result of dividing X squared into 4X to the 4th?

• 4X

• 4X squared

• 4X cubed

• 4

How do you handle subtraction in polynomial division?

• Subtract each term from the top row

• Multiply each term by the divisor

• Add each term to the top row

• Subtract each term from the bottom row

What is the next step after finding the remainder in polynomial division?

• Ignore the remainder

• Divide the remainder by the divisor

• Add the remainder to the quotient

• Multiply the remainder by the divisor

What is the final form of the quotient in polynomial division?

• A single polynomial term

• A fraction with the remainder over the divisor

• A product of the divisor and remainder

• A constant value

What indicates that the division process is complete?

• The quotient is a constant

• The divisor is larger than the remainder

• The remainder is zero

• The remainder cannot be divided by the divisor