How do you find a polynomial function with zeroes 2, -4, -3i?

1 Answer
Oct 23, 2015

Answer:

#x^3+(2+3i)x+(-8+6i)x-24i#

Explanation:

If the three roots are given, then we may obtain the corresponding 3 factors and hence write the polynomial as

#(x-2)(x+4)(x+3i)=0#

Multiplying this out you will get the polynomial with complex coefficients in standard form

#x^3+(2+3i)x+(-8+6i)x-24i#