Dividing Polynomials Using Long Division

This video tutorial teaches how to divide polynomials using long division, drawing parallels to basic long division learned in elementary school. It explains key terms like dividend, divisor, quotient, and remainder, and demonstrates polynomial division through examples. The tutorial also covers polynomial division by factoring and verifies results using the relationship between dividend, quotient, divisor, and remainder.

What is the remainder when 476 is divided by 21?

• 22

• 21

• 14

• 2

In the context of polynomial division, what is the dividend?

• The number being divided

• The result of division

• The number dividing

• The leftover part

How can the numerator 3a^2 - 75 be factored when dividing by a + 5?

• 3(a + 5)(a - 5)

• 3a^2 - 5

• 3(a - 5)

• 3a(a - 5)

What is the first step in polynomial long division when dividing x^2 by x?

• Multiply x by x

• Subtract x from x^2

• Divide x^2 by x

• Add x to x^2

What should be done when a term is missing in polynomial division?

• Skip the division

• Ignore it

• Multiply by zero

• Add a placeholder

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

• 2

• 0

• 7

• -18

Which of the following represents the relationship between dividend, divisor, quotient, and remainder?

• Dividend = Quotient x Divisor + Remainder

• Dividend = Divisor x Remainder + Quotient

• Dividend = Quotient + Divisor x Remainder

• Dividend = Remainder x Quotient + Divisor