The remainder theorem indicates theorem indicates that when a polynomial f(x) is divided by x−k, the remainder is equal to f(k). For f(x) = x^2 − 3x^2 - x + 3, use the remainder theorem to find each of the following. Then determine the coordinates of the corresponding point on the graph of f(x). 65.) f(-2) 66.) f(-1) 67.) f(- 1/2) 68.) f(0) 69.) f(1) 70.) f(3/2) 71.) f(2) 72.) f(3) 73.) Use the results from problems 65-72 to plot eight points on the graph of f(x). Connect these points with a smooth curve. Describe a method for graphing polynomial functions using the remainder theorem. 74.) Use the method described in problems 65-73 to sketch the graph of f(x) = − x^3 x^2 + 2x.
The remainder theorem indicates theorem indicates that when a polynomial f(x) is divided by x−k, the remainder is equal to f(k). For f(x) = x^2 − 3x^2 - x + 3, use the remainder theorem to find each of the following. Then determine the coordinates of the corresponding point on the graph of f(x). 65.) f(-2) 66.) f(-1) 67.) f(- 1/2) 68.) f(0) 69.) f(1) 70.) f(3/2) 71.) f(2) 72.) f(3) 73.) Use the results from problems 65-72 to plot eight points on the graph of f(x). Connect these points with a smooth curve. Describe a method for graphing polynomial functions using the remainder theorem. 74.) Use the method described in problems 65-73 to sketch the graph of f(x) = − x^3 x^2 + 2x.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 18E
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The remainder theorem indicates theorem indicates that when a polynomial f(x) is divided by x−k, the remainder is equal to f(k). For f(x) = x^2 − 3x^2 - x + 3, use the remainder theorem to find each of the following. Then determine the coordinates of the corresponding point on the graph of f(x).
65.) f(-2)
66.) f(-1)
67.) f(- 1/2)
68.) f(0)
69.) f(1)
70.) f(3/2)
71.) f(2)
72.) f(3)
73.) Use the results from problems 65-72 to plot eight points on the graph of f(x). Connect these points with a smooth curve. Describe a method for graphing polynomial functions using the remainder theorem.
74.) Use the method described in problems 65-73 to sketch the graph of
f(x) = − x^3 x^2 + 2x.
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