\(6a^4+7a^3-37a^2-8a+12\)
\(=6a^4-12a^3+19a^3-38a^2+a^2-2a-6a+12\)
\(=6a^3\left(a-2\right)+19a^2\left(a-2\right)+a\left(a-2\right)-6\left(a-2\right)\)
\(=\left(a-2\right)\left(6a^3+19a^2+a-6\right)\)
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