Algebra 90 - Dividing Polynomials

This video tutorial covers polynomial division, explaining its relationship to multiplication and how it can be used to factor polynomials. It reviews long division with integers and applies similar methods to polynomials, demonstrating how to handle remainders and special cases. The tutorial also introduces the concept of rational expressions and functions.

What is the inverse operation of multiplication in the context of polynomials?

• Addition

• Subtraction

• Division

• Exponentiation

In polynomial division, what is the term for the number that is divided?

• Dividend

• Divisor

• Quotient

• Factor

When performing long division with integers, what is the first step?

• Add the divisor to the dividend

• Subtract the divisor from the dividend

• Multiply the divisor by the quotient

• Determine how many times the divisor fits into the first digit of the dividend

What is the result of dividing 625 by 5 using long division?

• 135

• 130

• 125

• 120

In polynomial division, what must be true for a polynomial to be considered a factor of another polynomial?

• The quotient must be zero

• The dividend must be a constant

• The remainder must be zero

• The divisor must be greater than the dividend

What is the quotient when dividing 3x^2 + 10x + 8 by x + 2?

• 3x + 4

• 3x - 2

• 3x - 4

• 3x + 2

How can a remainder be represented in polynomial division?

• As a polynomial

• As a decimal

• As a fraction

• As a whole number

What happens when the degree of the divisor is greater than the degree of the dividend in polynomial division?

• The quotient is zero

• The remainder is zero

• The quotient is a rational expression

• The dividend is a factor

What should be done if a term is missing in the dividend during polynomial division?

• Subtract the missing term from the divisor

• Add a placeholder term with a one coefficient

• Add a placeholder term with a zero coefficient

• Ignore the missing term

In polynomial division, what is a rational function?

• A function with a polynomial numerator and denominator

• A function with a constant numerator

• A function with a zero denominator

• A function with a polynomial numerator only