Question

Completely factor the expression. $$6 x^{2}-54$$

   Completely factor the expression.
$$6 x^{2}-54$$

College Algebra

College Algebra

Ron Larson 9th Edition

Chapter 0, Problem 57

Instant Answer

Solved by Expert Teresa Fuston

10/13/2021

Step 1

The gcf of $6x^{2}$ and $54$ is $6$. So, we factor out $6$ from the polynomial. $$6x^{2}-54 = 6(x^{2}-9)$$ Show more…

Show all steps

lock

Thanks for your feedback!

Completely factor the expression. $$6 x^{2}-54$$

Play audio

Feedback

Powered by NumerAI

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Greatest Common Factor (GCF)

This concept involves identifying and factoring out the largest factor that is common to each term in a polynomial expression. Factoring out the GCF simplifies the expression and can reveal additional structures that make further factoring possible.

Difference of Squares

This method is used when an expression can be written as a^2 - b^2. It factors into the product of two binomials, (a + b)(a - b). Recognizing a difference of squares is key to simplifying and completely factoring certain polynomial expressions.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later