Find a cubic polynomial in standard form with real coefficients, having the given zeros.

0 and 2+3i

If 2 + 3i is a zero, then 2 - 3i is also a zero

x (x - 2 - 3i) (x - 2 + 3i)

= x (x² - 2x + 3ix - 2x + 4 - 6i - 3ix + 6i - 9i²

= x (x² - 4x + 4 + 9)

= x (x² - 4x + 13)

= x³ - 4x² + 13x