How to write a polynomial function with the integral coefficients that have the following roots:

Question

#1.) 0, -1/2, 6

#2.) + or - 5i

Answer 1

#1 x(x+ 1/2)(x-6) = 0
Multiply it out to get the (cubic) polynomial.

#2 (x- 5i)(x +5i) = 0
Multiply it out and remember that i^2 = -1

Answer 2

1,2,3