Learn how to factor a binomial using the box method

The video tutorial explains factoring by comparing it to finding the sides of a rectangle when given the area. It emphasizes the importance of choosing side lengths that evenly divide the area and demonstrates this with examples. The tutorial also shows how to verify the factored form using the distributive property.

What is the analogy used to explain factoring in the context of geometry?

• Determining the height of a triangle

• Calculating the volume of a cube

• Finding the sides of a rectangle given the area

• Finding the perimeter of a square

Why is 6X not a suitable side length when factoring 12X squared?

• It does not multiply to give 12X squared

• It results in a fraction when multiplied to get 15X

• It is not a factor of 12

• It is too large for the rectangle

What is the correct pair of side lengths for factoring 12X squared?

• 2X and 6X

• 3X and 4X

• 4X and 3X

• 6X and X

How can you verify your factoring solution?

• By applying the distributive property

• By checking with a calculator

• By using the box method

• By drawing a diagram

What is the factored form of the expression given in the example?

• 3X times 4X + 5

• 2X times 6X

• 6X times X

• 4X times 3X