Finding a Polynomial Function withGiven Zeros In Exercises 65–70, find thepolynomial function f with real coefficientsthat has the given degree, zeros, and functionvalue.Degree Zeros Function Value65. 3 1, 2i f(−1) = 1066. 3 2, i f(−1) = 667. 4 −2, 1, i f(0) = −468. 4 −1, 2, √2i f(1) = 1269. 3 −3, 1 + √3i f(−2) = 1270. 3 −2, 1 − √2i f(−1) = −12
Finding a Polynomial Function withGiven Zeros In Exercises 65–70, find thepolynomial function f with real coefficientsthat has the given degree, zeros, and functionvalue.Degree Zeros Function Value65. 3 1, 2i f(−1) = 1066. 3 2, i f(−1) = 667. 4 −2, 1, i f(0) = −468. 4 −1, 2, √2i f(1) = 1269. 3 −3, 1 + √3i f(−2) = 1270. 3 −2, 1 − √2i f(−1) = −12
Chapter3: Polynomial Functions
Section3.4: Zeros Of Polynomial Functions
Problem 41E: Finding a Polynomial Function with Given Zeros In Exercises 41-46, find a polynomial function with...
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Question
Finding a Polynomial
Given Zeros In Exercises 65–70, find the
polynomial function f with real coefficients
that has the given degree, zeros, and function
value.
Degree Zeros Function Value
65. 3 1, 2i f(−1) = 10
66. 3 2, i f(−1) = 6
67. 4 −2, 1, i f(0) = −4
68. 4 −1, 2, √2i f(1) = 12
69. 3 −3, 1 + √3i f(−2) = 12
70. 3 −2, 1 − √2i f(−1) = −12
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