SOLUTION: Find the polynomial of lowest degree having leading coefficient​ 1, real coefficients with a zero of 4 ​(multiplicity 2), and zero 4-5i. P(x)= (simplify) thank you for your

Algebra ->  Equations -> SOLUTION: Find the polynomial of lowest degree having leading coefficient​ 1, real coefficients with a zero of 4 ​(multiplicity 2), and zero 4-5i. P(x)= (simplify) thank you for your       Log On


   

Question 1192530: Find the polynomial of lowest degree having leading coefficient​ 1, real coefficients with a zero of 4 ​(multiplicity 2), and zero 4-5i.
P(x)=
(simplify)
thank you for your help!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-4%29%5E2%28x-%284-5i%29%29%28x-%284%2B5i%29%29
and you can take from here onward.
%28x-4%29%5E2%28%28x-4%29%2B5i%29%28%28x-4%29-5i%29
%28x-4%29%5E2%28%28x-4%29%5E2-%285i%29%5E2%29
%28x%5E2-8x%2B16%29%28x%5E2-8x%2B16%2B25%29
.
.