Factor. 7m^9 + 2m^6 - m^3 + 4m - 10 _____

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Identify Common Factor: Look for a common factor in all terms. Check each term of the polynomial 7m^9, 2m^6, -m^3, 4m, and -10 for any common factors. There are no common factors other than 1.Group and Check Factors: Group terms to look for common binomial factors. Group the terms in pairs or sets that might have common factors or binomial factors. We can try grouping the first three terms and the last two terms: (7m^9 + 2m^6 - m^3) + (4m - 10).Factor by Grouping: Factor by grouping. First, look at the group (7m^9 + 2m^6 - m^3). Factor out the greatest common factor, which is m^3: m^3(7m^6 + 2m^3 - 1). Now, look at the group (4m - 10). Factor out the greatest common factor, which is 2: 2(2m - 5). The polynomial is now written as: m^3(7m^6 + 2m^3 - 1) + 2(2m - 5).Search for Binomial Factor: Look for a common binomial factor. There is no common binomial factor between m^3(7m^6 + 2m^3 - 1) and 2(2m - 5). This means that the polynomial cannot be factored further using common binomial factors.Check Special Formulas: Check for special factoring formulas or patterns. There are no special factoring formulas or patterns that apply to the terms 7m^6 + 2m^3 - 1 or 2m - 5.Factorize Cubic Term: Check for possible factorization of the cubic term. The cubic term 7m^6 + 2m^3 - 1 does not factor easily, and there are no rational roots that can be found using the Rational Root Theorem.Conclude Prime Polynomial: Conclude that the polynomial is prime. Since no common factors, binomial factors, or special patterns are found, and the cubic term does not factor, the polynomial is prime and cannot be factored further.

Factor. $\newline$ $7m^9 + 2m^6 - m^3 + 4m - 10$ $\newline$ _____

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Factor. \newline7m9+2m6−m3+4m−107m^9 + 2m^6 - m^3 + 4m - 107m9+2m6−m3+4m−10\newline_____

Factor. $\newline$ $7m^9 + 2m^6 - m^3 + 4m - 10$ $\newline$ _____