Author Topic: Finding Maximum Value of Quadratic Polynomials  (Read 970 times)

Offline msu_math

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Finding Maximum Value of Quadratic Polynomials
« on: November 21, 2012, 10:48:45 AM »
Problem: What is the maximum value of -x2 + 4x + 10?

Solution: At first we rewrite the given polynomial in the form "a perfect square + constant". Here, -x2 + 4x + 10 = - (x-2)2 + 14 . Since squares are non-negative, - (x-2)2 + 14 <= 14. Thus, the maximum value of the quadratic is 14, which is achieved for the minimum value of (x-2)2 i.e. for (x-2)2=0 or at x=2.
« Last Edit: May 20, 2013, 08:48:20 AM by msu_math »
Mohammad Salah Uddin

Lecturer in Mathematics
Department of Natural Sciences
FSIT, DIU

Offline Nargis Akter

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Re: Finding Maximum Value of Quadratic Polynomials
« Reply #1 on: April 08, 2017, 01:59:34 PM »
Thanks for sharing.