Show that the general quartic (fourth degree) polynomial f(x) x 4 ax 3 bx 2 cx d has either zero or two inflection points, and that the latter case occurs provided that b 3a 2 8 ...

Note that fx 0 exactly when This represents no real solutions when 9a 2 24b 0 which occu ...

Show that the general quartic (fourth-degree) polynomial f(x) = x 4 + ax 3 + bx 2

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Show that the general quartic (fourth-degree) polynomial f(x) = x⁴ + ax³ + bx² + cx + d has either zero or two inflection points, and that the latter case occurs provided that b < 3a²/8.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Mar 05, 2019 07:13 AM

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Show that the general quartic (fourth-degree) polynomial f(x) = x 4 + ax 3 + bx 2

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Note that fx 0 exactly when This represents no real solutions when 9a 2 24b 0 which occu...View the full answer

Calculus Early Transcendentals

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