2. The polynomial 2x3-5x² + kx + 6 has the same remainder when divided by x + 1 and x-2. Find value of k.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
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2. The polynomial 2x3 - 5x² + kx + 6 has the same remainder when divided by x + 1 and x-2. Find value of k.
3. A medical researcher establishes that a patient's reaction time, r, in minutes, to a dose of a particular drug
is r (d) = -0.8d³ + d², where d is the amount of the drug, in millilitres, that is absorbed into the patient's
blood. Determine the instantaneous rate of change of the time reaction with respect to the amount of the
drug at 1 millilitre.
Transcribed Image Text:2. The polynomial 2x3 - 5x² + kx + 6 has the same remainder when divided by x + 1 and x-2. Find value of k. 3. A medical researcher establishes that a patient's reaction time, r, in minutes, to a dose of a particular drug is r (d) = -0.8d³ + d², where d is the amount of the drug, in millilitres, that is absorbed into the patient's blood. Determine the instantaneous rate of change of the time reaction with respect to the amount of the drug at 1 millilitre.
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