Trendlines and LINEST compute coefficients in different ways, for some reason that escapes me, so I don't have a suggestion for that.
However, there is no need to invoke LINEST (a very heavyweight function) four times to get four coefficients. Select a range 4 columns wide, and paste this in the formula bar:
=LINEST(C2:C7, B2:B7^{1,2,3})
Don't press Enter; instead, press and hold the Ctrl and Shift keys, then ppress Enter.
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