Dividing Polynomials Using Inspection

This video tutorial teaches how to divide polynomials using the inspection method. It begins with an introduction to polynomial division, explaining key concepts like dividend, divisor, quotient, and remainder. The tutorial then demonstrates the inspection method with examples, showing how to factor polynomials and adjust constant terms to achieve the desired factorization. The video concludes with a practical example of dividing a binomial, reinforcing the inspection technique.

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

• Remainder

• Quotient

• Dividend

• Divisor

In the example with the trinomial dividend, what is the remainder when dividing by X + 1?

• 4

• 5

• 6

• 9

What is the quotient when dividing X^2 + 6X + 9 by X + 1 using inspection?

• X + 4

• X + 6

• X + 7

• X + 5

In the example with the binomial dividend, what is the constant term added to make the polynomial factorable?

• 14

• 15

• 13

• 12

What is the quotient when dividing 2X + 7 by X - 3 using inspection?

• 4

• 2

• 3

• 1

What is the remainder when dividing 2X + 7 by X - 3 using inspection?

• 11

• 12

• 13

• 14

What is the main method discussed in the lesson for dividing polynomials?

• Synthetic Division

• Factoring

• Inspection

• Long Division