SOLUTION: 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 W
Algebra.Com
Question 764515: 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 ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
What is the lowest-degree polynomial with integer coefficients
and the roots 6, i, and –i?
Two factors
(x-6) = 0
and
x = +/-i
square both sides
x^2 = -1
x^2 + 1 = 0
:
FOIL (x-6)(x^2+1)
x^3 + x - 6x^2 - 6
in order
x^3 - 6x^2 + x - 6
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