Question

Factor by grouping. $$ x 3+7 x 2-2 x-14 $$

   Factor by grouping.
$$
x 3+7 x 2-2 x-14
$$

Elementary Algebra

Elementary Algebra

John Redden 1st Edition

Chapter 6, Problem 83

Instant Answer

Solved by Expert James Kiss

01/29/2022

Step 1

Step 1: First, we group the terms as follows: $$ (x^3+7x^2) + (-2x-14) $$ Show more…

Show all steps

lock

Thanks for your feedback!

Factor by grouping. $$ x 3+7 x 2-2 x-14 $$

Play audio

Feedback

Powered by NumerAI

James Kiss and 98 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

Polynomial Factorization

This is the process of expressing a polynomial as a product of its simpler polynomials or factors. By breaking down a complex polynomial into products of lower-degree polynomials, one can more easily solve equations, analyze roots, or simplify expressions.

Factor by Grouping

This technique involves partitioning the terms of a polynomial into groups that have common factors. After factoring out these common factors from each group, if a common binomial factor emerges, it can be factored out further, simplifying the original polynomial into a product form.

Common Factor Extraction

This concept involves identifying and extracting the greatest common factor from a set of terms. It is a preliminary step in many factoring techniques, including factor by grouping, as it simplifies the expression and can reveal underlying structures in the polynomial.

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