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+7x^2+7x−15​; k=−5   Is −5 a zero of the​ function? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.   A. The given k is not a zero of the polynomial function. ​f(−5​)=   B. The given k is a zero of the polynomial function.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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+7x^2+7x−15​; k=−5
 
Is −5 a zero of the​ function? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
 
A. The given k is not a zero of the polynomial function.
​f(−5​)=
 
B. The given k is a zero of the polynomial function.
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