True or False In Exercises 81 and 82, decide whetherthe statement is true or false. Justify your answer.81. It is possible for a third-degree polynomial functionwith integer coefficients to have no real zeros.82. If x = −i is a zero of the functionf(x) = x3 + ix2 + ix − 1then x = i must also be a zero of f.
True or False In Exercises 81 and 82, decide whetherthe statement is true or false. Justify your answer.81. It is possible for a third-degree polynomial functionwith integer coefficients to have no real zeros.82. If x = −i is a zero of the functionf(x) = x3 + ix2 + ix − 1then x = i must also be a zero of f.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 1E
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Question
True or False In Exercises 81 and 82, decide whether
the statement is true or false. Justify your answer.
81. It is possible for a third-degree polynomial
with integer coefficients to have no real zeros.
82. If x = −i is a zero of the function
f(x) = x3 + ix2 + ix − 1
then x = i must also be a zero of f.
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