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Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 3,-13, and 5 + 4i


answer choices:


f(x)=

x^4-8x^3-12x^2+400x-1599


F(x) = x^4-200x^2+800x-1599


F(x)= x^4-98x^2+800x-1599


F(x)= x^4-8x^3+12x^2-400x +1599


Sagot :

Answer:

F(x)= x^4-98x^2+800x-1599

Step-by-step explanation:

(x - 3) (x + 13) (x - (5 + 4 i)) (x - (5 - 4 i))

= (x² +10x - 39) (x² -10x + 41)

= x⁴-98x²+800x-1599