Find a cubic polynomial in standard form with real​ coefficients, having the zeros 44 and 99i. Let the leading coefficient be 1.

Answer 1

Then =99i is also a solution

the polynomial is:

P(x) = (x-44)(x - 99i) (x + 99i)

= (x - 44) ( x^2 - (-1)(99*99))

= (x - 44) (x^2 + 9801)

= x^3 - 44x^2 +9801 x - 431244