How do you factor polynomials different techniques for different polynomials

This video provides an overview of factoring polynomials, explaining the purpose and various techniques used for different types of polynomials. It covers factoring out the greatest common factor (GCF), the difference of squares, and methods for binomials and trinomials, including the diamond method. The video also discusses advanced techniques like grouping for polynomials with four or more terms.

What is the primary goal when factoring a polynomial expression?

• To eliminate all variables

• To simplify the expression

• To rewrite it as the product of two expressions

• To rewrite it as a sum of terms

When factoring a polynomial, what should you always look for first?

• The leading coefficient

• The difference of squares

• The sum of cubes

• The Greatest Common Factor (GCF)

In the example given, what is the GCF of the polynomial 3X^2 - 6X + 9?

• 3

• 2

• 6

• 1

Which method is used for factoring trinomials when the leading coefficient is 1?

• Grouping method

• Box method

• Synthetic division

• Diamond method

What technique is suggested for factoring polynomials with four terms?

• Grouping

• Using the quadratic formula

• Synthetic division

• Completing the square