Factor. 4c^7 - 2c^5 + c^2 - 5 _____

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Find Common Factors: Look for common factors in each term of the polynomial 4c^7 - 2c^5 + c^2 - 5. Upon inspection, there is no common factor for all terms. However, we can group terms to see if there are common factors within the groups.Group Terms: Group the terms to find common factors within the groups. We can group the first two terms and the last two terms: (4c^7 - 2c^5) + (c^2 - 5). Now, let's factor out the common factors within each group.Factor First Group: Factor out the greatest common factor from the first group 4c^7 - 2c^5. The greatest common factor is 2c^5, so we get 2c^5(2c^2 - 1).Factor Second Group: Factor out the greatest common factor from the second group c^2 - 5. There is no common factor other than 1, so this group remains as it is: (c^2 - 5).Write Partially Factored Form: Write down the partially factored form of the polynomial. We have factored the polynomial as far as common factors within groups allow: 2c^5(2c^2 - 1) + (c^2 - 5).Look for Patterns: Look for patterns or special products that might help further factor the polynomial. There are no obvious patterns like difference of squares, perfect square trinomials, or sum/difference of cubes that apply to the terms we have. The polynomial does not seem to factor further using standard algebraic techniques.Conclude Factoring: Conclude that the polynomial is factored as much as possible with the given techniques. The polynomial 4c^7 - 2c^5 + c^2 - 5 is factored to 2c^5(2c^2 - 1) + (c^2 - 5), and no further factoring is possible.

Factor. $\newline$ $4c^7 - 2c^5 + c^2 - 5$ $\newline$ _____

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Factor. \newline4c7−2c5+c2−54c^7 - 2c^5 + c^2 - 54c7−2c5+c2−5\newline_____

Factor. $\newline$ $4c^7 - 2c^5 + c^2 - 5$ $\newline$ _____