Question

Factor the expression completely. $$x^{4}+2 x^{3}-3 x^{2}$$

   Factor the expression completely.
$$x^{4}+2 x^{3}-3 x^{2}$$

College Algebra

College Algebra

James Stewart,… 7th Edition

Chapter 0, Problem 89

Instant Answer

Solved by Expert Ankit Gupta

08/12/2020

Step 1

This gives us: $$x^{4}+2 x^{3}-3 x^{2} = x^{2}(x^{2}+2x-3)$$ Show more…

Show all steps

lock

Thanks for your feedback!

Factor the expression completely. $$x^{4}+2 x^{3}-3 x^{2}$$

Play audio

Feedback

Powered by NumerAI

Ankit Gupta and 97 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

Common Factor Extraction

This concept involves identifying and factoring out the greatest common factor from all terms in a polynomial. Extracting common factors simplifies the expression and is the first step in the process of factoring completely.

Quadratic Factorization

After removing the common factor, one is often left with a quadratic expression that can be factored further into a product of binomials. Factoring quadratic expressions, typically by finding two numbers that multiply to the constant term and add to the coefficient of the linear term, is a fundamental technique in algebra.

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