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Factor the expression completely.

3x^(2)+5x
Answer:

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

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Evaluate numerical expressions involving exponents

Full solution

Q. Factor the expression completely.

\newline

3 x^{2}+5 x

\newline

Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression $3x^2 + 5x$ . The GCF of $3x^2$ and $5x$ is $x$ , because $x$ is the highest power of $x$ that divides evenly into both terms.
Factor out GCF: Factor out the GCF from the expression. $\newline$ We can write $3x^2 + 5x$ as $x(3x + 5)$ .
Check for further factorization: Check to see if the expression inside the parentheses can be factored further. $\newline$ The expression $3x + 5$ does not have a common factor other than $1$ , and it is not a special product such as a difference of squares or a perfect square trinomial. Therefore, it cannot be factored further.
Write final factored form: Write down the final factored form of the expression. $\newline$ The completely factored form of the expression $3x^2 + 5x$ is $x(3x + 5)$ .

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