SOLUTION: Find a polynomial with real coefficients of degree 3 and roots (3,2i,-2i) and that has factors :, (x-3), (x-2i) and (x+2i)

SOLUTION: Find a polynomial with real coefficients of degree 3 and roots (3,2i,-2i) and that has factors :, (x-3), (x-2i) and (x+2i)

Algebra.Com

Question 745584: Find a polynomial with real coefficients of degree 3 and roots (3,2i,-2i) and that has factors :, (x-3), (x-2i) and (x+2i)
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
(x-3), (x-2i) and (x+2i) tells us...

for some constant a

...is a difference of squares - with a twist:

so we now use distribution...

with the principal polynomial

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