Polynomial Division Concepts

This video tutorial teaches how to divide polynomials using long division, similar to numerical long division. It reviews the basic concepts of division, including dividend, divisor, quotient, and remainder. The tutorial explains polynomial division by factoring and provides a detailed step-by-step process for polynomial long division. Examples are given to illustrate the method, and the relationship between dividend, quotient, divisor, and remainder is emphasized. The lesson concludes with a summary of key concepts.

What is the main focus of this lesson?

• Adding polynomials

• Subtracting polynomials

• Dividing polynomials using long division

• Multiplying polynomials

In the example 476 divided by 21, what is the remainder?

• 5

• 14

• 22

• 21

What is the dividend in the division 476 divided by 21?

• 21

• 14

• 22

• 476

When dividing polynomials, what method is used if the numerator is not a multiple of the denominator?

• Factoring

• Long division

• Graphing

• Synthetic division

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 polynomials

• Add the polynomials

• Subtract the polynomials

In polynomial long division, what should you do if a term is missing in the dividend?

• Add a placeholder term with a coefficient of one

• Skip the division

• Add a placeholder term with a coefficient of zero

• Ignore it

What is the remainder when dividing x^3 + 3x - 4 by x + 2?

• 14

• -18

• 7

• 0

What is the relationship between dividend, divisor, quotient, and remainder?

• Dividend = Divisor * Remainder + Quotient

• Dividend = Quotient * Divisor + Remainder

• Dividend = Quotient * Divisor - Remainder

• Dividend = Quotient + Divisor + Remainder

What is the quotient when dividing 7 by 3?

• 4

• 2

• 1

• 3

What is the remainder when dividing 7 by 3?

• 0

• 1

• 2

• 3