Factoring a trinomial using guess and check, 3w^2 + 14w + 8 = 0

The video tutorial explains how to factor quadratic equations without using the AC method. It introduces the FOIL method and emphasizes focusing on the first and last terms. The instructor demonstrates identifying factors that multiply to give specific terms and using a guess and check method to find the correct factors. The tutorial concludes with verifying solutions using the zero product property.

What is the main focus when using the FOIL method to factor a quadratic equation?

• All terms equally

• Middle terms only

• None of the terms

• First and last terms

Which of the following is NOT a valid factor combination for the quadratic equation discussed?

• 2 and 4

• 4 and 2

• 8 and 1

• 3W and W

What is the purpose of the guess and check method in factoring?

• To apply the zero product property

• To eliminate negative terms

• To simplify the equation

• To find the correct middle term

What is the zero product property used for in solving quadratic equations?

• To eliminate negative terms

• To simplify the equation

• To factor the equation

• To find the roots of the equation

Which method is described as foolproof for factoring quadratic equations?

• Zero product property

• AC method

• Guess and check method

• FOIL method