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C++ (gcc), 61 bytes float f(int n,float*p,float x){return n?*p+x*f(n-1,p+1,x):0;} Try it online!
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# [C++ (gcc)], 61 bytes <!-- language-all: lang-cpp --> float f(int n,float*p,float x){return n?*p+x*f(n-1,p+1,x):0;} [Try it online!][TIO-ksjxbpj3] [C++ (gcc)]: https://gcc.gnu.org/ [TIO-ksjxbpj3]: https://tio.run/##XVHrasMgFP7vUxwyGLnY0lwKo2bdg4QyxJhOSI0kdmQrefbMYzp6@aOe73yXowpjVkch5rlpO26hCZW2oKmvYrPsMEaXXtpzr0F/xCYZ4ybUq5SaJKVjtNuwaX5RWrTnWkKpusH2kp/2hFh5Mi23skTPQf3KPXx3qgbB2/azCb13@Mr7nv9EFfYPFP4DyYUAiC/eg@j0YGMY4B2CKmAObroe/JzKYRvmttLbM0gSFTkCagEGW@92ojtbKF0fFx9VqQNb@uhIwVtO5IkfuFkCPIy@gtV@KZsQk@hiRd2g3hyVUtctIxMhONmJKx0ul1huZNLq4PIukK43MDlh6qr0LWM3RnZjUMiutMxBxR0pv5Ky9fZGyvEd1ts7WvHkRSHHpbgKCgxHAT7y8hsmxaEidodkmP@A5Bj2gBTo5pBp/gM "C++ (gcc) – Try It Online"