Question

Factor completely. $$ -24 x^{6}+6 x^{4} $$

   Factor completely.
$$
-24 x^{6}+6 x^{4}
$$

Intermediate Algebra : Concepts and Applications

Intermediate Algebra : Concepts and Applications

Marvin L. Bittinger,… 10th Edition

Chapter 5, Problem 38

Instant Answer

Solved by Expert Ankit Gupta

07/17/2020

Step 1

This gives us: $$ -24x^{6} + 6x^{4} = 6x^{4}(-4x^{2} + 1) $$ Show more…

Show all steps

lock

Thanks for your feedback!

Factor completely. $$ -24 x^{6}+6 x^{4} $$

Play audio

Feedback

Powered by NumerAI

Ankit Gupta and 88 other subject Algebra educators are ready to help you.

Ask a new question

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

Factoring Polynomial Expressions

Factoring polynomial expressions involves rewriting the expression as a product of simpler polynomials or monomials. This process includes identifying common factors, applying exponent rules, and sometimes recognizing special patterns, enabling more manageable forms for further algebraic operations or solutions.

Greatest Common Factor (GCF)

The greatest common factor is the largest factor that divides each term of a polynomial without a remainder. In polynomial factorization, identifying the GCF helps simplify the expression by allowing one to factor out this common element, reducing the expression to a simpler form for further manipulation or solving.

Properties of Exponents

Understanding the laws of exponents is essential in polynomial factorization, especially when dealing with variables raised to powers. These properties, such as the rule that states x^a divided by x^b equals x^(a-b), allow one to correctly factor out common variable powers from terms, which is crucial in simplifying 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