Find a polynomial with integer coefficients that satisfies the given conditions p has degree 4 zeros - 2-5i 2 0

Since the coefficients are real, the conjugate of the given complex zero is also a zero. Your polynomial is

p = (x - (-2-5i)) · (x - (-2+5i)) · (x-2) · (x-0)

= ((x+2) ² - (5i) ²) · (x² - 2x)

= (x² + 4x + 29) · (x² - 2x)

p = x⁴ + 2x³ + 21x² - 58x