Posted by **Arnau** on Wednesday, May 1, 2013 at 12:31pm.

As x ranges over all real values, what is the minimum value of the polynomial x4−14x2+303?

- Math (Algebra) -
**Steve**, Wednesday, May 1, 2013 at 2:31pm
If you let u=x^2, you have

u^2 - 14u + 303 = (u-7)^2 + 254

That's just a parabola with vertex at (7,254)

So, the minimum occurs at x=±√7 and is 254.

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