Factoring Methods and Techniques

The video tutorial discusses various factoring methods to solve algebraic expressions. It begins by identifying if all terms are divisible by a common factor, leading to common factoring. Next, it checks if a trinomial is already factored or needs further factoring. The tutorial then explores the difference of squares method for expressions in the form a^2 - c^2. Finally, it distinguishes between simple and complex trinomial factoring based on the coefficient of the x^2 term.

What is the first question you should ask when faced with a factoring problem?

• Is the expression a perfect square?

• Is the expression a binomial?

• Are a, b, and c divisible by the same term?

• Is the expression a trinomial?

When can you apply common factoring?

• When the expression is a perfect square

• When the expression is a binomial

• When the expression is a trinomial

• When all terms are divisible by the same factor

What is the result of applying common factoring?

• A more complex expression

• An unchanged expression

• A simplified expression

• An expanded expression

What is the first step in common factoring?

• Expand the expression

• Identify the greatest common factor

• Apply the difference of squares method

• Solve for x

What should you do if a trinomial is not fully factored?

• Apply the difference of squares method

• Use common factoring

• Stop factoring

• Continue factoring

What should you do if a trinomial is already factored?

• Continue factoring

• Stop factoring

• Use common factoring

• Apply the difference of squares method

Which of the following is a characteristic of a fully factored trinomial?

• It can be factored further

• It is in its simplest form

• It is a perfect square

• It is a binomial

How can you recognize an expression suitable for the difference of squares method?

• It is a trinomial

• It is a perfect square trinomial

• It is a binomial with a squared term

• It is a binomial in the form a^2 - c^2

Which method is used when an expression is in the form a^2 - c^2?

• Common factoring

• Difference of squares

• Simple trinomial factoring

• Complex trinomial factoring

What is the final question to ask when factoring?

• Is the expression a binomial?

• Is the expression a trinomial?

• Is the coefficient of the x squared term one?

• Is the expression a perfect square?