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factor -2x^6-6x^5+56x^4=
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\[-2 x^4 (x^2+3 x-28) \]
\[-2x^4(x-4)(x+7)\]
First thing is that this looks complicated, so find the biggest thing you can factor out. Each term has a -2x^4 in common, so pull that out (-2x^4) (x^2 +3x -28) Now you can factor the second expression (-2x^4) ( x+7)(x-4)
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