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Python 3, 46 bytes f=lambda p,x,a=0:p and f(p[1:],x,a*x+p[0])or a Try it online! Takes input reversed.
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#1: Initial revision
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2021-08-18T14:16:39Z (about 3 years ago)
# [Python 3], 46 bytes
<!-- language-all: lang-python -->
f=lambda p,x,a=0:p and f(p[1:],x,a*x+p[0])or a
[Try it online!][TIO-kshkvi2g]
[Python 3]: https://docs.python.org/3/
[TIO-kshkvi2g]: https://tio.run/##K6gsycjPM/7/P802JzE3KSVRoUCnQifR1sCqQCExL0UhTaMg2tAqFiSmVaFdEG0Qq5lfpJD4v6AoM69EI00j2lDPIDbaykrXMFZHwdDCSFOTC1lKR8EISd4EWdZIzxRV1kDPFJtuHQVjEGGCbA9I5X8A "Python 3 – Try It Online"
Takes input reversed.