Polynomial Long Division Concepts

The video tutorial explains how to perform polynomial long division. It begins by setting up the division problem and finding the first term in the quotient. The process involves multiplying and subtracting terms, but instead of direct subtraction, the tutorial uses the method of adding opposites. This process is repeated to find subsequent terms in the quotient. The tutorial concludes by calculating the final term and determining the remainder, providing a complete solution to the polynomial division problem.

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

• Multiply the dividend by the divisor

• Subtract the divisor from the dividend

• Put the quotient in long division form

• Add the divisor to the dividend

How do you determine the first term in the quotient?

• By subtracting the first term of the divisor from the first term of the dividend

• By adding the first term of the dividend and divisor

• By multiplying the first term of the dividend by the first term of the divisor

• By dividing the first term of the dividend by the first term of the divisor

What is the purpose of changing the sign of each term inside the parentheses during subtraction?

• To divide the terms

• To multiply the terms

• To convert subtraction into addition

• To simplify the division

What operation is performed after multiplying the first term of the quotient with the divisor?

• Addition

• Subtraction

• Multiplication

• Division

What is the result when you add opposites during polynomial long division?

• The sum is zero

• The sum is doubled

• The sum is negative

• The sum is halved

What is the next step after bringing down the next term in the dividend?

• Multiply the entire dividend by the divisor

• Find the next term in the quotient

• Subtract the divisor from the dividend

• Add the divisor to the dividend

How is the remainder expressed in the final answer?

• As a product with the divisor

• As a fraction over the divisor

• As a difference with the divisor

• As a sum with the divisor

What do you do if the remainder is negative in the final answer?

• Subtract it from the quotient

• Ignore it

• Express it as a negative fraction over the divisor

• Add it to the quotient

How can the final answer be alternatively expressed?

• By stating the remainder separately

• By adding the remainder to the divisor

• By ignoring the remainder

• By multiplying the remainder with the divisor

What is the significance of the remainder in polynomial long division?

• It is expressed as a fraction over the divisor

• It is added to the quotient

• It is subtracted from the quotient

• It is always zero