Polynomial Long Division Concepts

This video tutorial explains how to perform polynomial long division. It begins by setting up the division problem with a given dividend and divisor. The process involves finding each term of the quotient by dividing the leading terms, multiplying, and subtracting to simplify the expression. The tutorial covers how to handle subtraction by adding the opposite and continues the process until the remainder is found. The final answer is expressed as a quotient with a remainder, and alternative ways to write the answer are discussed.

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

• Identify the remainder

• Subtract the exponents

• Find the quotient

• Set up the dividend and divisor

How do you determine the first term in the quotient?

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

• Subtract the remainder from the dividend

• Add the exponents of the dividend

• Multiply the divisor by the dividend

What operation is performed after finding the first term of the quotient?

• Multiplication

• Addition

• Subtraction

• Division

What is the next step after subtracting the first product from the dividend?

• Multiply the divisor

• Find the remainder

• Add the terms

• Bring down the next term

How do you find the second term in the quotient?

• Subtract the divisor from the dividend

• Add the remainder to the dividend

• Divide the new leading term by the divisor's leading term

• Multiply the divisor by the first term

What is the result of adding negative eight x squared and eight x squared?

• Sixteen x squared

• Negative eight x squared

• Zero

• Negative sixteen x squared

What is the last term in the quotient when dividing six x by two x?

• One

• Zero

• Three

• Two

What is the remainder when the division is complete?

• Negative one

• Positive two

• Negative two

• Zero

How can the final answer be written when there is a remainder?

• As a fraction with the remainder over the divisor

• As a product of the divisor and quotient

• As a whole number

• As a decimal

What is the complete quotient obtained from the division?

• 4x squared plus 4x minus 3

• 4x squared minus 4x plus 3

• 4x squared plus 4x plus 3

• 4x squared minus 4x minus 3