Polynomial Long Division Concepts

The video tutorial explains how to divide a degree 3 polynomial by a degree 2 binomial using long division. It begins by setting up the division problem and arranging terms in descending order. The tutorial then demonstrates finding the first term of the quotient by comparing the leading terms of the dividend and divisor. It continues with the long division process, explaining how to align terms and perform subtraction by adding the opposite. The video concludes by finding the remainder and verifying that its degree is less than the divisor's degree, resulting in the final quotient.

What is the degree of the polynomial being divided?

• Degree 4

• Degree 2

• Degree 1

• Degree 3

Tags

CCSS.5.NF.B.4A

What operation does the fraction bar represent in the division problem?

• Addition

• Division

• Multiplication

• Subtraction

Tags

CCSS.HSA.APR.D.6

How do you determine the first term of the quotient?

• By adding the first terms of the divisor and dividend

• By multiplying the first terms of the divisor and dividend

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

• By subtracting the first terms of the divisor and dividend

Tags

CCSS.HSA.APR.D.6

What is the result of multiplying X by the divisor in the first step?

• 2X cubed + 7X

• 2X cubed + 5X

• 2X squared + 7

• 2X squared + 5

Tags

CCSS.HSA.APR.D.6

What is the purpose of changing subtraction to addition in polynomial long division?

• To avoid negative numbers

• To simplify the process

• To add the opposite of the terms

• To align like terms

Tags

CCSS.HSA.APR.D.6

What is the next term of the quotient after the first step?

• 2

• -2

• 4

• -4

Tags

CCSS.HSA.APR.D.6

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

• Division

• Subtraction

• Addition

• Multiplication

Tags

CCSS.HSA.APR.B.2

What is the remainder of the division?

• 2X + 5

• 2X + 7

• 2X - 7

• 2X - 5

Tags

CCSS.HSA.APR.D.6

What is the degree of the remainder compared to the divisor?

• Greater than the divisor

• Equal to the divisor

• Less than the divisor

• Not related to the divisor

Tags

CCSS.3.OA.A.2

What is the final result of the division called?

• Dividend

• Quotient

• Divisor

• Remainder

Tags

CCSS.3.OA.A.2