Factor. 14m^3 + 7m^2 + 16m + 8 ______

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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 (GCF) of 14m^3, 7m^2, 16m, and 8 is 1. Step Output: GCF: 1Group Terms: Step Title: Group Terms Concise Step Description: Group terms in pairs to factor by grouping. Step Calculation: Group the first two terms and the last two terms: (14m^3 + 7m^2) + (16m + 8). Step Output: Grouped Terms: (14m^3 + 7m^2) and (16m + 8)Factor Each Group: Step Title: Factor Each Group Concise Step Description: Factor out the GCF from each group. Step Calculation: Factor out 7m^2 from the first group and 8 from the second group: 7m^2(2m + 1) + 8(2m + 1). Step Output: Factored Groups: 7m^2(2m + 1) and 8(2m + 1)Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Factor out the common binomial factor from the factored groups. Step Calculation: The common binomial factor is (2m + 1), so factor it out: (2m + 1)(7m^2 + 8). Step Output: Factored by Grouping: (2m + 1)(7m^2 + 8)

Factor. $\newline$ $14m^3 + 7m^2 + 16m + 8$

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Factor.\newline14m3+7m2+16m+814m^3 + 7m^2 + 16m + 814m3+7m2+16m+8

Factor. $\newline$ $14m^3 + 7m^2 + 16m + 8$