Factor. 14m^3 + 7m^2 + 4m + 2 ______

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Identify Common Factors: Step Title: Identify Common Factors Concise Step Description: Look for any common factors in all terms of the polynomial. Step Calculation: The greatest common factor of 14m^3, 7m^2, 4m, and 2 is 1. Step Output: No common factors other than 1.Group Terms: Step Title: Group Terms Concise Step Description: Group terms to factor by grouping, which involves rearranging the terms into two binomials. Step Calculation: Group the first two terms and the last two terms: (14m^3 + 7m^2) + (4m + 2). Step Output: Grouped terms: (14m^3 + 7m^2) and (4m + 2).Factor Out Common Factors: Step Title: Factor Out the Greatest Common Factor from Each Group Concise Step Description: Factor out the greatest common factor from each group. Step Calculation: Factor out 7m^2 from the first group and 2 from the second group: 7m^2(2m + 1) + 2(2m + 1). Step Output: Factored groups: 7m^2(2m + 1) and 2(2m + 1).Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Since both groups contain the common factor (2m + 1), factor it out. Step Calculation: Factor out (2m + 1) from both groups: (2m + 1)(7m^2 + 2). Step Output: Factored expression: (2m + 1)(7m^2 + 2).

Factor. $\newline$ $14m^3 + 7m^2 + 4m + 2$

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Factor.\newline14m3+7m2+4m+214m^3 + 7m^2 + 4m + 214m3+7m2+4m+2

Factor. $\newline$ $14m^3 + 7m^2 + 4m + 2$