Dividing two polynomials using long division algorithm

The video tutorial explains the process of polynomial division using the long division method. It begins with an overview of the division algorithm, emphasizing the importance of dividing by the first term of the divisor and ensuring terms are in descending order. The instructor then provides a detailed, step-by-step demonstration of dividing polynomials, highlighting the need to multiply, subtract, and handle remainders carefully. The tutorial concludes with instructions on writing the final quotient and remainder, ensuring a comprehensive understanding of the long division process.

What is the first step in the division algorithm as described in the video?

• Multiply the divisor by the dividend

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

• Subtract the divisor from the dividend

• Add the divisor to the dividend

Why is it important to ensure terms are in descending order during the division process?

• To simplify the multiplication step

• To ensure accurate subtraction

• To correctly identify the remainder

• To maintain the order of operations

How do you handle a negative term during the subtraction step?

• Subtract the negative term as if it were positive

• Add the negative term to the next term

• Multiply the negative term by -1

• Ignore the negative sign

What should you do if there is no term to subtract from during the division process?

• Skip the subtraction step

• Bring down the next term from the dividend

• Add a zero to the quotient

• Multiply the divisor by zero

How is the remainder expressed in the final quotient?

• As a fraction over the divisor

• As a negative term in the quotient

• As a decimal point in the quotient

• As a separate term added to the quotient