Question

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

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

Algebra and Trigonometry

Algebra and Trigonometry

James Stewart,… 3rd Edition

Chapter 0, Problem 69

Instant Answer

Solved by Expert Melissa Salvador

07/23/2020

Step 1

In this case, it's $x^{2}$. We factor out $x^{2}$ from each term: $$ X^{4}+2 X^{3}-3 x^{2} = x^{2}(x^{2}+2 x-3) $$ Show more…

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

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Key Concepts

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.

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.

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