Factoring a trinomial twice, first with the GCF

The video tutorial explains how to factor polynomials by identifying the greatest common factor (GCF) and using the box method. It demonstrates the process of factoring a polynomial completely by finding two numbers that multiply to a given product and add to a specific sum. The tutorial concludes with a brief introduction to the next example.

What is the first step you should take when you see a polynomial with common terms?

• Use the quadratic formula

• Perform polynomial long division

• Find the greatest common factor

• Apply the distributive property

What method can be used to determine the common side length in a polynomial?

• Completing the square

• Box method

• Synthetic division

• Graphing

After factoring out the greatest common factor, what is the next step in the box method?

• Expand the polynomial

• Factor the remaining polynomial completely

• Combine like terms

• Solve for x

Which two numbers multiply to 30 and add to 11?

• 3 and 10

• 5 and 6

• 2 and 15

• 1 and 30

What is the final factorized form of a polynomial when the leading coefficient is 1?

• The product of the GCF and the remaining polynomial

• The factors themselves

• The sum of the factors

• The difference of the factors