Factor the expression completely. 2x^(3)+2x 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. 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. 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. The completely factored form of the expression 2x^3 + 2x is 2x(x^2 + 1).

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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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Math Problems

Grade 7

Evaluate numerical expressions involving exponents

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Q. Factor the expression completely.

\newline

2 x^{3}+2 x

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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 $2x(x^2 + 1)$ .