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Factor the expression completely.

28x^(3)+49 x
Answer:

Factor the expression completely. $\newline$ $28 x^{3}+49 x$ $\newline$ Answer:

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Solve exponential equations by rewriting the base

Full solution

Q. Factor the expression completely.

\newline

28 x^{3}+49 x

\newline

Answer:

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms in the expression $28x^{3}$ and $49x$ . The GCF of $28$ and $49$ is $7$ , and the GCF of $x^3$ and $x$ is $x$ . So, the GCF of the entire expression is $7x$ .
Factor out GCF: Factor out the GCF from the expression. $\newline$ $28x^{3} + 49x = 7x(4x^2 + 7)$
Check for further factoring: Check if the remaining expression inside the parentheses can be factored further. $\newline$ The expression $4x^2 + 7$ does not have any common factors and is not a special polynomial (like a difference of squares or a perfect square trinomial), so it cannot be factored further.
Write final factored form: Write the final factored form of the expression. $\newline$ The completely factored form of the expression is $7x(4x^2 + 7)$ .

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