Factoring out the GCF then perfect square trinomial with multiple terms

The video tutorial explains how to factor a polynomial expression by identifying and factoring out the greatest common factor (GCF). It guides through the process of simplifying the expression and recognizing it as a perfect square trinomial. The tutorial emphasizes the importance of factoring out the GCF first and then checking for further factorization opportunities.

What is the first step in factoring a polynomial expression?

• Identify the coefficients

• Determine the Greatest Common Factor (GCF)

• Simplify each term

• Expand the expression

Which of the following represents the GCF of the terms 12a^4b^3c^2, 2a^3b^3c^3, and a^2b^3c^4?

• a^2b^3c^2

• a^2b^2c^2

• a^4b^3c^2

• a^3b^3c^3

After factoring out the GCF, what is the simplified form of the term 2a^3b^3c^3?

• ab^3c^3

• 2abc

• 2a^2bc

• 2abc^2

What is the next step after factoring out the GCF from a polynomial?

• Add new terms to the expression

• Multiply the terms back together

• Divide each term by the GCF again

• Check if the expression can be factored further

How can the expression a^2 + 2ac + c^2 be rewritten?

• a^2 - 2ac + c^2

• (a - c)^2

• (a + c)^2

• a^2 + c^2