Use synthetic division to decide whether the given number k is a zero of the polynomial function. If it is​ not, give the value of​ f(k).   ​f(x) = x^3 + 3x^2 - 5x + 1; k = 2 + i Is "2 + i" a zero of the function?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 8T: Use synthetic division to show that x=3 is a zero of the function f(x)=2x35x26x+15. Use the result...
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Use synthetic division to decide whether the given number k is a zero of the polynomial function. If it is​ not, give the value of​ f(k).
 
​f(x) = x^3 + 3x^2 - 5x + 1; k = 2 + i

Is "2 + i" a zero of the function?
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