How do you write a polynomial with zeros: 2i, sqrt2, and 2?

1 Answer
Shwetank Mauria
Mar 9, 2016

x^3-(2+sqrt2+2i)x^2+(2sqrt2+(2sqrt2+4)i)x-4sqrt2i

Explanation:

The polynomial with zeros: 2i,sqrt2 and 2 is

(x-sqrt2)(x-2)(x-2i) or

(x^2-sqrt2x-2x+2sqrt2)(x-2i) or

(x^3-sqrt2x^2-2x^2+2sqrt2x-2ix^2+2sqrt2ix+4ix-4sqrt2i) or

x^3-(2+sqrt2+2i)x^2+(2sqrt2+(2sqrt2+4)i)x-4sqrt2i

Related questions
See all questions in Zeros
Impact of this question
1468 views around the world
You can reuse this answer
Creative Commons License