Factoring by Grouping Techniques

This video introduces factoring, focusing on the grouping method. It explains the reverse process of multiplying polynomials and highlights the importance of identifying the greatest common factor. The video outlines different factoring methods, with a detailed explanation of the grouping method. It provides a step-by-step guide to factoring using grouping, emphasizing the need to find two numbers that multiply to a product and add to a middle term. The video prepares students for practical examples in subsequent videos.

What is the main topic discussed in this video?

• Introduction to geometry

• Introduction to algebra

• Introduction to factoring and grouping

• Introduction to calculus

What is factoring described as in the video?

• The process of adding polynomials

• The reverse process of multiplying polynomials

• The process of dividing polynomials

• The process of subtracting polynomials

What is the first step in the factoring process?

• Finding the middle term

• Taking out the greatest common factor

• Using the difference of squares

• Using the soap formula

Which method is used when there are two terms?

• Grouping

• Difference of squares or soap formula

• None of the above

• Prime factorization

What should you do if you cannot find a method that works for factoring?

• Call it prime

• Use the box method

• None of the above

• Use the foil method

What form should the polynomial be in before starting the grouping method?

• ax^2 + bx + c

• ax + b

• ax^3 + bx^2 + cx + d

• None of the above

What is the second step in the grouping method?

• Finding the greatest common factor

• Finding two numbers that multiply to a * c and add to b

• Grouping the terms

• Breaking up the middle term

What do you do after breaking up the middle term in the grouping method?

• None of the above

• Add the terms

• Multiply the terms

• Find the greatest common factor and factor each parenthesis

What should you do if the grouping method does not make sense initially?

• Skip the method

• Review the steps and reference them during practice

• Use a different method

• None of the above

What will be covered in the next video?

• None of the above

• Introduction to calculus

• An example of factoring using grouping

• A new method of factoring