Polynomial Long Division: Understanding Quotient and Remainder

This lesson teaches how to rewrite the division of two polynomials using polynomial long division. It begins with an introduction to the concept, followed by a review of basic division using numerical examples. The lesson then provides a detailed, step-by-step example of polynomial long division, highlighting the importance of aligning like terms and correctly subtracting terms. The lesson concludes with a summary of the key points, emphasizing the goal of rewriting a fraction as a quotient plus a remainder over the divisor.

What is the term used for the numerator in a polynomial division?

• Divisor

• Quotient

• Dividend

• Remainder

In a long division setup, where does the divisor go?

• Above the symbol

• Outside, in front of the symbol

• Inside the symbol

• Below the symbol

What is the first step in performing long division with numbers?

• Add the divisor to the dividend

• Multiply the divisor by the quotient

• Subtract the divisor from the dividend

• Check if the first digit of the dividend is divisible by the divisor

When setting up polynomial long division, what must you ensure about the terms?

• They are in ascending order

• They are all variables

• They are all constants

• There are no missing terms

What is the first part of the quotient when dividing 2x^2 by x?

• x

• x^2

• 2

• 2x

What should you do after multiplying the first part of the quotient by the divisor in polynomial division?

• Add the result to the dividend

• Subtract the result from the dividend

• Multiply the result by the next term

• Divide the result by the next term

What indicates that the polynomial division process is complete?

• The quotient is zero

• The divisor is zero

• The remainder is greater than the divisor

• The remainder is less than the divisor