Factoring Trinomials Using the Box Method

This video tutorial teaches how to factor trinomials using the box method, a technique that simplifies the process for students. The instructor provides a detailed explanation of the method, followed by ten examples that demonstrate how to apply it to different types of trinomials, including those with negative coefficients and complex numbers. The video also offers tips for identifying the greatest common factor and using prime factorization. Viewers are encouraged to pause and practice the examples to reinforce their understanding.

What is the first step in the box method for factoring trinomials?

• Identify the greatest common factor.

• Find two numbers that multiply to the leading coefficient.

• Write the trinomial in two parts.

• Find two numbers that multiply to the product of the leading coefficient and the constant term.

What must the two numbers found in the box method do in relation to the middle coefficient?

• Divide into it

• Add to it

• Subtract to it

• Multiply to it

In the box method, where do you place the first term of the trinomial?

• Upper right corner

• Lower left corner

• Lower right corner

• Upper left corner

What is the purpose of identifying the greatest common factor in the box method?

• To simplify the trinomial

• To find the product of A and C

• To add up to the middle coefficient

• To factor out of both terms in a row

How do you check if your factored form is correct in the box method?

• By foiling or distributing twice

• By dividing the trinomial by the factors

• By subtracting the factors

• By adding the factors

What indicates that both numbers to be found must be negative when using the box method?

• A positive product and a positive sum

• A negative product and a negative sum

• A negative product and a positive sum

• A positive product and a negative sum

What does a coefficient of 1 in front of the x squared term imply about the numbers to be found?

• One must be positive and one must be negative

• They must both be positive

• It has no implication on the numbers

• They must both be negative

What is the significance of the prime factorization tree method mentioned in the video?

• It assists in finding two numbers that multiply to a large product

• It helps to simplify the trinomial

• It is a method to add up to the middle coefficient

• It is used to identify the greatest common factor

What does the narrator suggest for students who want to get more practice with factoring?

• To create their own trinomials

• To avoid using calculators

• To check out his other videos on factoring

• To only use the box method

What does the narrator offer to viewers who want to support his educational content?

• Free textbooks

• Private tutoring sessions

• A subscription to his channel

• T-shirts for sale and membership options