Factoring Trinomials with the Area Model

This video tutorial, Mathcast Edition 10, demonstrates how to factor trinomials using the area model and algebra tiles. It begins with a review of positive and negative algebra tiles and the rules for their placement. The tutorial includes four examples, each illustrating different trinomial expressions and factoring techniques, including the use of the zero principle. The video concludes with a summary and contact information for feedback.

What color represents positive algebra tiles in the area model?

• Blue

• Red

• Green

• Yellow

Which of the following cannot abut against an X squared tile?

• None of the above

• X squared

• 1

• X

What does the area model primarily illustrate?

• Factoring trinomials

• Multiplying binomials

• Addition of polynomials

• Subtraction of polynomials

What must be true for tiles to abut each other in the area model?

• They must be the same color

• They must have the same side length

• They must represent the same algebraic term

• They must be oppositely charged

What is the factored form of x^2 + 4x + 3?

• (x + 2)(x + 2)

• (x + 1)(x + 3)

• (x + 3)(x + 1)

• (x + 4)(x - 1)

What is the correct placement of tiles to factor x^2 + 4x + 3?

• X squared at the bottom left

• X squared at the top left

• X squared at the bottom right

• X squared at the top right

What is the factored form of 2x^2 + 7x + 3?

• (x + 3)(2x + 1)

• (2x + 3)(x + 1)

• (x + 1)(2x + 3)

• (2x + 1)(x + 3)

What principle is used when factoring 6x^2 - x - 2?

• Foil principle

• Zero principle

• Tile principle

• Area principle

How is the zero principle applied in factoring?

• By dividing pairs of zeros

• By adding pairs of zeros

• By multiplying pairs of zeros

• By subtracting pairs of zeros

What is the factored form of -2x^2 + 5x - 3?

• (-2x + 1)(x - 3)

• (x + 1)(2x - 3)

• (-x + 1)(2x - 3)

• (2x + 1)(-x + 3)