SOLUTION: Hello! I am trying to solve the following for homework: Given that one zero of P(x)= x^3+3x^2+7x+85 is 1+4i, which is also a zero of P(x)? Show the work.... A) -1+4i

Algebra ->  Rational-functions -> SOLUTION: Hello! I am trying to solve the following for homework: Given that one zero of P(x)= x^3+3x^2+7x+85 is 1+4i, which is also a zero of P(x)? Show the work.... A) -1+4i       Log On


   



Question 384258: Hello!
I am trying to solve the following for homework:
Given that one zero of P(x)= x^3+3x^2+7x+85 is 1+4i, which is also a zero of
P(x)? Show the work....
A) -1+4i B) 1-4i C) 4+i D) -4+i
Thanks
Jim

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: If a%2Bbi is a zero of a polynomial P%28x%29, then a-bi is also a zero (since complex zeros come in conjugate pairs).