Write the function in the form f(x) = (x - k)q(x) + r for the given value of k. %3D f(x) = -4x3 + 6x² + 12x + 4, k = 1 – 3 f(x) = x-1- V3 )(-4x²+2 - V 3x +14 – 2/3)+ 18- 31 %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Write the function in the form f(x) = (x - k)q(x) + r for the given value of k.
%3D
f(x) = -4x3 + 6x² + 12x + 4, k = 1 – 3
f(x) = x-1- V3 )(-4x2+ 2- V 3x +14– 2/3) + 18 - 3v3 x
%3D
Demonstrate that f(k) = r.
(1- v3) = -4(1-V3 )³+6(1- /3 )² + 12(1 – v3 ) +4
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Transcribed Image Text:Write the function in the form f(x) = (x - k)q(x) + r for the given value of k. %3D f(x) = -4x3 + 6x² + 12x + 4, k = 1 – 3 f(x) = x-1- V3 )(-4x2+ 2- V 3x +14– 2/3) + 18 - 3v3 x %3D Demonstrate that f(k) = r. (1- v3) = -4(1-V3 )³+6(1- /3 )² + 12(1 – v3 ) +4 |
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