Learn how to divide polynomials using long division

The video tutorial covers polynomial division using the long division algorithm. It begins with setting up the problem and highlights the importance of arranging terms in descending order. The instructor explains how to handle missing terms by inserting zero coefficients. The division process is demonstrated step-by-step, emphasizing common mistakes and how to avoid them. The tutorial concludes with handling remainders and writing the final answer correctly.

What is the first step in setting up the polynomial division problem?

• Identify the greatest common factor.

• Multiply the polynomial by a constant.

• Set up the division with the divisor and dividend.

• Simplify the polynomial expression.

Why is it important to include a zero coefficient for the missing squared term?

• To make the polynomial look more complex.

• To ensure the polynomial is in standard form.

• To avoid errors in the division process.

• To make the polynomial easier to factor.

What should you do if the leading term of the divisor is not in descending order?

• Ignore the order and proceed with division.

• Multiply the divisor by a constant.

• Add a zero coefficient to the missing term.

• Rearrange the terms to be in descending order.

What is a common mistake students make during polynomial division?

• Adding terms instead of subtracting.

• Using the wrong divisor.

• Not simplifying the polynomial before dividing.

• Forgetting to multiply the quotient by both terms of the divisor.

What is the result of dividing 6B to the 4th by B?

• 6B cubed

• 6B

• 6B to the 4th

• 6B squared

How do you handle the remainder in polynomial division?

• Ignore it and write the quotient only.

• Add it as a fraction over the divisor.

• Subtract it from the quotient.

• Multiply it by the divisor.

What should you do if the subtraction step does not result in zero?

• Check for calculation errors.

• Add a zero coefficient.

• Multiply the remainder by the divisor.

• Ignore and proceed to the next step.