Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. write the polynomial in standard form. 5, -3, and -1 + 2iwill mark brainliest!

FIRST, find all the factor:
x = 5 --> (x - 5) = 0
x = -3 --> (x + 3) = 0
x = -1 + 2i --> [x - (-1 + 2i)] = 0
don't forget its conjugate! x = -1 - 2i  --> [x - (-1 - 2i)] = 0

NEXT, multiply all the factors:
(x - 5) (x + 3) [x - (-1 + 2i)] [x - (-1 - 2i)] = 0
--> (x - 5) (x + 3) (x²+2x+5) = 0
--> x^4 -14x² - 40x - 75 = 0
--> f(x) = x^4 -14x² - 40x - 75