SOLUTION: Kindly please assist. What is the lowest-degree polynomial with integer coefficients and the roots 6,i,and -i? a)x^3+6x^2+x+6 b)x^3-6x^2+x-6 c)x^3+6x^2-x-6 d)x^3-6x^2-x+6

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Kindly please assist. What is the lowest-degree polynomial with integer coefficients and the roots 6,i,and -i? a)x^3+6x^2+x+6 b)x^3-6x^2+x-6 c)x^3+6x^2-x-6 d)x^3-6x^2-x+6      Log On


   

Question 700444: Kindly please assist.
What is the lowest-degree polynomial with integer coefficients and the roots 6,i,and -i?
a)x^3+6x^2+x+6
b)x^3-6x^2+x-6
c)x^3+6x^2-x-6
d)x^3-6x^2-x+6
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
If the roots are 6,i,and -i then the equation is:
+%28x-6%29%28x-i%29%28x%2Bi%29+=+0+
Multiplying out:
+%28x-6%29%28x%5E2%2B1%29+=+0+
+x%5E3+%2B+x+-+6x%5E2+-6++=+0+
+x%5E3+-6x%5E2+-x+-6++=+0+