Show that if the quadratic polynomial (x) = x 2 + rx + s takes on both

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Show that if the quadratic polynomial ƒ(x) = x² + rx + s takes on both positive and negative values, then its minimum value occurs at the midpoint between the two roots.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Nov 11, 2023 08:00 AM

Show that if the quadratic polynomial f (x) = x2 + rx + s takes on both positive and negative values, then its minimum value occurs at the midpoint between the two roots.
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Show that if the quadratic polynomial (x) = x 2 + rx + s takes on both

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Let fx x rxs and suppose that f takes on both positive and negative values This will gua...View the full answer

Calculus

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