Factoring a polynomial completely

The video tutorial explains the process of factoring a polynomial expression. It begins with identifying the greatest common factor (GCF) and demonstrates how to factor it out from the expression. The tutorial then proceeds to further factor the resulting trinomial by finding two numbers that multiply to a specific value and add to another. The process is broken down into clear steps, making it easier for students to understand and apply the concepts.

What is the first step in factoring a polynomial?

• Divide by the smallest coefficient

• Add all coefficients

• Multiply all terms by 2

• Identify the greatest common factor (GCF)

What does GCF stand for in the context of factoring?

• Greatest Common Factor

• General Common Factor

• Greatest Coefficient Factor

• General Coefficient Factor

After factoring out the GCF, what is the next step?

• Divide the terms by 2

• Multiply the terms by the GCF

• Add the terms back together

• Simplify the remaining expression

Which pair of numbers multiply to -6 and add to -1?

• -3 and 2

• 3 and -2

• -2 and 3

• 2 and -3

What is the completely factored form of the expression?

• 2A(a + 2)(a - 3)

• 2A(a - 2)(a + 3)

• 2A(a + 3)(a - 2)

• 2A(a - 3)(a + 2)