SOLUTION: Find the polynomial of least degree having zeros: -5i and 6+i

SOLUTION: Find the polynomial of least degree having zeros: -5i and 6+i

Algebra.Com

Question 856446: Find the polynomial of least degree having zeros:
-5i and 6+i
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
Assuming you are familiar with the theory...
-5i is a root of x^2+25
6+i comes from x^2-12x+37
(x^2+25)(x^2-12x+37)=
x^4-12x^3+62x^2-300x+925
(and any constant multiple of this will due)
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