Mastering Polynomial Long Division with Remainders

The video tutorial explains how to divide polynomials using polynomial long division. It begins by introducing the concept and proceeds to match terms step-by-step, using the division algorithm. The process involves matching the first, second, and third terms, distributing, subtracting, and handling the remainder. The final result is expressed as a quotient with a remainder over the divisor.

What is the first step in polynomial long division?

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

• Multiply the divisor by the highest degree term

• Subtract the divisor from the dividend

• Identify the highest degree term in the dividend

Which term do you use to multiply the divisor in the first step of polynomial long division?

• The constant term of the dividend

• The highest degree term of the dividend

• The highest degree term of the divisor

• The lowest degree term of the dividend

What is the role of the divisor in polynomial long division?

• It is multiplied by the quotient

• It is used to divide the dividend

• It is added to the dividend

• It is subtracted from the dividend

What do you do after multiplying the divisor by a term in the dividend?

• Subtract the result from the dividend

• Add the result to the dividend

• Multiply the result by the dividend

• Divide the dividend by the result

What operation is performed to simplify each step in polynomial long division?

• Multiplication

• Subtraction

• Addition

• Division

How do you handle the remainder in polynomial long division?

• Multiply the remainder by the divisor

• Divide the remainder by the divisor

• Add the remainder to the final quotient

• Ignore the remainder

What is the result of the polynomial long division process?

• A new divisor

• A simplified divisor only

• A quotient and possibly a remainder

• A single polynomial