Factor. 14n^3 - 7n^2 - 20n + 10 ______

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Identify Common Factor: Look for a common factor in all terms. Check if there is a greatest common factor (GCF) that can be factored out from all the terms in the polynomial 14n^3 - 7n^2 - 20n + 10. The GCF of 14n^3, 7n^2, 20n, and 10 is 1, so there is no common factor to factor out.Grouping for Factoring: Group terms to facilitate factoring by grouping. Group the terms into two pairs: (14n^3 - 7n^2) and (-20n + 10). Now, factor out the GCF from each pair. For the first pair, the GCF is 7n^2, so factor it out: 14n^3 - 7n^2 = 7n^2(2n - 1). For the second pair, the GCF is -10, so factor it out: -20n + 10 = -10(2n - 1).Write Factored Form: Write the factored form of the polynomial. Now we have: 7n^2(2n - 1) - 10(2n - 1). Notice that (2n - 1) is a common factor in both terms. Factor out (2n - 1) from both terms: 14n^3 - 7n^2 - 20n + 10 = (2n - 1)(7n^2 - 10).Check Quadratic Factor: Check if the quadratic factor can be factored further. The quadratic factor 7n^2 - 10 does not factor nicely over the integers, and there is no obvious way to factor it further. Therefore, the factored form of the polynomial is: (2n - 1)(7n^2 - 10).

Factor. $\newline$ $14n^3 - 7n^2 - 20n + 10$

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Factor.\newline14n3−7n2−20n+1014n^3 - 7n^2 - 20n + 1014n3−7n2−20n+10

Factor. $\newline$ $14n^3 - 7n^2 - 20n + 10$