Question

Which of the following is a polynomial with roots 2, –3i, and 3i ?

Answer 1

if a ,b ,c are roots of a polynomial.....
the equation of polynomial is
y=(x-a)(x-b)(x-c)

try for the given roots

Answer 2

the roots are 2, -3i and 3i therefore...

x = 2
x = -3i -> x^2 = -9
x = 3i -> x^2 = -9

so the factors would be

(x-2)(x^2 +9)(x^2+9)

multiply that to get the polynomial

Answer 3

Thank you soo much!

Answer 4

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