Factor the expression completely. 5x^(3)-2x Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression. The terms 5x^3 and 2x both have x as a common factor. The greatest power of x that divides both terms is x^1 (or simply x).Factor Out GCF: Factor out the GCF from each term in the expression. The expression 5x^3 - 2x can be factored by taking out the common factor x: x(5x^2 - 2)Check Further Factoring: Check if the remaining expression inside the parentheses can be factored further. The expression 5x^2 - 2 is a difference of two terms that are not a difference of squares or any other factorable form. Therefore, it cannot be factored further.Write Completely Factored Form: Write down the completely factored form of the original expression. The completely factored form of the expression 5x^3 - 2x is x(5x^2 - 2).

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Factor the expression completely.

5x^(3)-2x
Answer:

Factor the expression completely. $\newline$ $5 x^{3}-2 x$ $\newline$ Answer:

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Math Problems

Grade 7

Evaluate numerical expressions involving exponents

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Q. Factor the expression completely.

\newline

5 x^{3}-2 x

\newline

Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression. $\newline$ The terms $5x^3$ and $2x$ both have $x$ as a common factor. The greatest power of $x$ that divides both terms is $x^1$ (or simply $x$ ).
Factor Out GCF: Factor out the GCF from each term in the expression. $\newline$ The expression $5x^3 - 2x$ can be factored by taking out the common factor $x$ : $\newline$ $x(5x^2 - 2)$
Check Further Factoring: Check if the remaining expression inside the parentheses can be factored further. $\newline$ The expression $5x^2 - 2$ is a difference of two terms that are not a difference of squares or any other factorable form. Therefore, it cannot be factored further.
Write Completely Factored Form: Write down the completely factored form of the original expression. $\newline$ The completely factored form of the expression $5x^3 - 2x$ is $x(5x^2 - 2)$ .