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Factor the expression completely.

2x^(3)+2x
Answer:

Factor the expression completely. $\newline$ $2 x^{3}+2 x$ $\newline$ Answer:

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Evaluate numerical expressions involving exponents

Full solution

Q. Factor the expression completely.

\newline

2 x^{3}+2 x

\newline

Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression $2x^3$ and $2x$ . The GCF of $2x^3$ and $2x$ is $2x$ , since both terms are divisible by $2x$ .
Factor out GCF: Factor out the GCF from the expression. $\newline$ The expression $2x^3 + 2x$ can be factored as $2x(x^2 + 1)$ .
Check for further factorization: Check if the remaining expression inside the parentheses can be factored further. $\newline$ The expression $x^2 + 1$ is a sum of squares and cannot be factored over the real numbers.
Write final factored form: Write down the final factored form of the expression. $\newline$ The completely factored form of the expression $2x^3 + 2x$ is $2x(x^2 + 1)$ .

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