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Suppose g(x) is a monic polynomial of even degree d, that is, g(x)=xd+bd-lxd-1 + ... + bx+bo for some real numbers bo, b,...,bd-1. Show

Suppose g(x) is a monic polynomial of even degree d, that is, g(x)=xd+bd-lxd-1 + ... + bx+bo for some real numbers bo, b,...,bd-1. Show that g achieves an absolute minimum on R.

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