Factor. 6u^3 - 8u^2 - 15u + 20 ______

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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 terms of the polynomial 6u^3 - 8u^2 - 15u + 20. The GCF of 6u^3, 8u^2, 15u, and 20 is 1, so there is no common factor other than 1.Grouping for Factoring: Group terms to facilitate factoring by grouping. We can group the terms as follows: (6u^3 - 8u^2) and (-15u + 20). Now we will look for common factors within each group.Factor Out from First Group: Factor out the common factor from the first group. In the first group (6u^3 - 8u^2), we can factor out 2u^2, which gives us 2u^2(3u - 4).Factor Out from Second Group: Factor out the common factor from the second group. In the second group (-15u + 20), we can factor out -5, which gives us -5(3u - 4).Write Factored Form: Write the factored form of the polynomial. We now have 2u^2(3u - 4) - 5(3u - 4). Notice that (3u - 4) is a common factor. We can factor (3u - 4) out of both terms, which gives us (3u - 4)(2u^2 - 5).Check Further Factoring: Check for any further factoring possibilities. The terms 2u^2 and -5 do not have any common factors, and 2u^2 - 5 cannot be factored further over the integers. Therefore, the factored form of the polynomial is (3u - 4)(2u^2 - 5).

Factor. $\newline$ $6u^3 - 8u^2 - 15u + 20$

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Factor.\newline6u3−8u2−15u+206u^3 - 8u^2 - 15u + 206u3−8u2−15u+20

Factor. $\newline$ $6u^3 - 8u^2 - 15u + 20$