Question

Factor completely. $$ 12 x^{3}-10 x^{2} $$

Name: Problem 18, Chapter 3: Intermediate Algebra
Uploaded: 2022-02-27T14:36:09-08:00
Duration: 12 s
Channel: Erika Bustos
Description: Factor completely. 12 x^3-10 x^2

   Factor completely.
$$
12 x^{3}-10 x^{2}
$$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 3, Problem 18

Instant Answer

Solved by Expert Erika Bustos

02/27/2022

Step 1

The GCF of $12x^3$ and $-10x^2$ is $2x^2$. Show more…

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Factor completely. $$ 12 x^{3}-10 x^{2} $$

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Key Concepts

Polynomial Factoring

Polynomial factoring is the process of rewriting a polynomial as a product of simpler polynomials or monomials. It is a fundamental technique in algebra that involves methods such as identifying common factors, applying special formulas, or grouping terms to break down complex expressions into simpler components.

Greatest Common Factor (GCF) Extraction

This concept involves identifying and then factoring out the largest expression that is a divisor of each term in a polynomial. In the process of factoring completely, finding the GCF simplifies the polynomial by reducing the degrees of the terms, making further factoring, if necessary, more straightforward.

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