Dividing two polynomials using long division algorithm

This video tutorial explains how to divide a polynomial by a monomial using long division. It covers setting up the division with zero placeholders for missing terms, performing the division step-by-step, and handling remainders. The tutorial emphasizes the importance of subtracting the entire row during the process and concludes with writing the quotient and remainder in the final answer.

Why is it important to use parentheses when dividing a polynomial by a monomial?

• To make the expression look more complex

• To separate the terms visually

• To ensure the correct order of operations

• To simplify the polynomial

What is the purpose of including a zero placeholder in polynomial division?

• To make the polynomial longer

• To maintain correct place value

• To add extra terms to the polynomial

• To confuse the reader

When dividing 4X^4 by 2X, what is the resulting term?

• X^3

• 2X^2

• X^2

• 2X^3

What happens to the remainder when a polynomial does not divide evenly by a monomial?

• It is written as a fraction with the divisor

• It is ignored

• It is added to the quotient

• It is subtracted from the quotient

How should the final quotient be written if there is a remainder?

• Ignoring the remainder

• With the remainder divided by the divisor

• With the remainder added to the end

• As a single polynomial