Polynomial Division Concepts and Terms

This video tutorial teaches how to divide polynomials using the inspection method. It begins with an introduction to polynomial division, explaining how it can be represented as a fraction. The video reviews basic division concepts using fractions, highlighting terms like dividend, divisor, quotient, and remainder. The main focus is on the inspection method, where division is performed mentally by adjusting terms to make factorization possible. Examples are provided to demonstrate this method with different polynomial types, showing how to rewrite dividends and identify quotients and remainders.

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

• Remainder

• Dividend

• Quotient

• Divisor

In a fraction, what is the term for the number of parts the whole is divided into?

• Divisor

• Remainder

• Quotient

• Dividend

What is the remainder when 7 is divided by 5?

• 4

• 1

• 3

• 2

In the example with x^2 + 6x + 9, what is the divisor used?

• x - 1

• x + 1

• x + 2

• x + 3

What is the quotient when x^2 + 6x + 9 is divided by x + 1?

• x + 5

• x + 7

• x + 4

• x + 6

In the example with 2x + 7, what is the constant term added to make it factorable?

• 13

• 14

• 12

• 11

What is the quotient when 2x + 7 is divided by x - 3?

• 3

• 2

• 4

• 1

What is the remainder when 2x + 7 is divided by x - 3?

• 13

• 12

• 11

• 14

What method is used to divide polynomials in this lesson?

• Graphical Method

• Inspection

• Synthetic Division

• Long Division

What is the main focus of this lesson on polynomial division?

• Using calculators

• Factoring polynomials

• Rewriting division by inspection

• Graphing polynomials