Information is given about a polynomial fx whose coefficient

Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 4; zeros: 8 - 5i, 2i

Solution

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solution

since it is given in the problme that degree of polynominal is 4

and we know that complex roots occur in conjugate pairs

two zeros is given 8-5i,2i

then remainig two is 8+5i ,-2i   

answer is 8+5i,-2i