Factoring Techniques and Methods

The video tutorial introduces a new method for factoring trinomials called 'slide and divide'. The instructor first explains the traditional method of factoring by grouping, which involves finding factors of a product that add up to a specific number. Then, the new method is introduced, which simplifies the process by sliding the leading coefficient and dividing the resulting factors. The instructor demonstrates both methods and expresses excitement about the efficiency of the new approach.

What is the main topic of the video tutorial?

• Graphing linear equations

• Factoring techniques

• Solving inequalities

• Solving quadratic equations

What is the first step in the traditional method of factoring by grouping?

• Finding the greatest common factor

• Multiplying the leading coefficient by the constant term

• Rewriting the middle term

• Grouping terms

In the traditional method, what do you do after finding factors that add up to the middle term?

• Solve the equation

• Rewrite the expression

• Check the solution

• Factor by grouping

What is the greatest common factor of the first group in the example?

• 3x

• 2x

• 4x

• 6x

What is the new method introduced in the video?

• Factor and Slide

• Multiply and Divide

• Slide and Divide

• Slide and Multiply

What is the first step in the 'Slide and Divide' method?

• Divide the coefficients

• Slide the leading coefficient

• Multiply the terms

• Factor the expression

In 'Slide and Divide', what do you do after sliding the leading coefficient?

• Solve for x

• Rewrite the equation

• Divide the expression

• Find two numbers that multiply to the new constant

What do you do with the fractions obtained in the 'Slide and Divide' method?

• Add them to the expression

• Reduce them and use the denominators

• Multiply them by the leading coefficient

• Ignore them

What is the final step in the 'Slide and Divide' method?

• Rewrite the expression

• Add the fractions

• Multiply the denominators by x

• Check the solution

What is the purpose of multiplying the leading coefficient by the constant in 'Slide and Divide'?

• To eliminate the middle term

• To find the greatest common factor

• To create an easier trinomial to factor

• To simplify the expression