Reverse FOIL Method for Factoring

Arturo Balthazar introduces the reverse FOIL method for factoring trinomials. He reviews the FOIL method for multiplying binomials and explains the steps to reverse it. The video covers determining signs in trinomials with examples and applies the method to an original problem. The tutorial concludes with final steps and a summary of the reverse FOIL method.

What is the purpose of the FOIL method in algebra?

• To solve quadratic equations

• To factor trinomials

• To simplify expressions

• To multiply binomials

In the reverse FOIL method, what is the first step?

• Multiply to get x squared

• Check the outside and inside products

• Find the last terms of the binomials

• Determine the signs between terms

How do you determine the signs between terms in the reverse FOIL method?

• By using trial and error

• By listing all possible factors

• By using the first and second signs

• By checking the constant term

What does a positive second sign indicate about the signs of the binomials?

• They are the same

• They are both negative

• They are both positive

• They are opposite

In the original problem, what does a positive first sign indicate?

• Both signs are negative

• Both signs are positive

• Signs are opposite

• Signs are irrelevant

How do you find the last terms of the binomials in the reverse FOIL method?

• By listing factors of the constant term

• By checking the middle term

• By guessing

• By using the quadratic formula

Why is it recommended to use numbers that are smallest in size to each other?

• They are always correct

• They are easier to calculate

• They simplify the process

• They work more often

What is the final step in the reverse FOIL method?

• Check the outside and inside products

• Determine the signs

• List the factors

• Multiply the binomials

What should the sum of the outside and inside products equal?

• The constant term

• The middle term

• The first term

• The last term

What is the result of successfully applying the reverse FOIL method?

• A polynomial

• A solved equation

• A factored trinomial

• A simplified expression