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Factor. $\newline$ $2x^8 + 7x^2$ $\newline$ ______

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Factor by grouping

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Q. Factor.

\newline

2x^8 + 7x^2

\newline

______

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms in the expression $2x^8 + 7x^2$ . $\newline$ The GCF of $2x^8$ and $7x^2$ is $x^2$ .
Factor out GCF: Factor out the GCF from the expression. $\newline$ We can write $2x^8 + 7x^2$ as $x^2(2x^6 + 7)$ .
Check for further factoring: Check if the expression inside the parentheses can be factored further. $\newline$ The expression $2x^6 + 7$ does not have any common factors and it is not a special polynomial (like a difference of squares or a perfect square trinomial), so it cannot be factored further.

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