Factoring Polynomials in Algebra 2

The video tutorial provides a comprehensive guide on factoring polynomials, covering various methods such as identifying the greatest common factor (GCF), using the SOAP method for perfect cubes, factoring by grouping for four-term polynomials, applying the difference of squares (DOTS) technique, and the slide and divide method for three-term polynomials. Each method is explained with examples, and the importance of checking for further factorization is emphasized. The tutorial aims to enhance understanding and readiness for solving polynomial problems.

What is the first step in factoring a polynomial?

• Identify the number of terms

• Apply the quadratic formula

• Solve for x

• Determine the greatest common factor

What does 'GCF' stand for in polynomial factoring?

• General cubic formula

• Greatest coefficient formula

• Greatest common factor

• Geometric cubic function

Which method is used for a polynomial with four terms?

• Slide and divide

• Quadratic formula

• Difference of squares

• Factoring by grouping

What does the acronym 'DOTS' stand for in the context of factoring?

• Division of trinomial squares

• Division of two squares

• Difference of two squares

• Difference of three squares

Tags

CCSS.HSA.APR.C.4

In the context of cubes, what does 'SOAP' represent?

• Sum of all products

• Sum or difference of perfect cubes

• Solution of algebraic problems

• Sum of algebraic products

What is the result of applying the 'slide and divide' method to a trinomial?

• A quadratic and a linear factor

• Two binomials

• A single trinomial

• Cannot be determined

What is the next step after 'sliding' in the 'slide and divide' method?

• Add the coefficients

• Multiply the coefficients

• Subtract the coefficients

• Divide the coefficients

Tags

CCSS.8.EE.C.7B

How do you verify if a polynomial is factored correctly?

• By substituting values for variables

• By performing polynomial division

• By expanding the factors and comparing with the original

• By reapplying the factoring method

Which of the following is not a factoring technique discussed in the tutorial?

• Quadratic sequencing

• Factoring by grouping

• Slide and divide

• Difference of squares

What should be checked first when factoring a polynomial?

• If it can be graphed

• If it is in standard form

• If it has a common factor

• If it is a binomial