State how many imaginary and real zeros the function has.f(x) = x3+ 5×2+ x + 50

State how many imaginary and real zeros the function has.f(x) = x3+ 5×2+ x + 50 imaginary; 3 real1 imaginary; 2 real3 imaginary; 0 real2 imaginary; 1 realWrite a linear factorization of the function.f(x) = x4+ 36x2f(x) = x2(6x + i)2f(x) = x2(x + 6i)2f(x) = x2(6x + i)(6x i)f(x) = x2(x + 6i)(x 6i)Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.4 -8 and 2 + 5if(x) = x4 6×3 20×2+ 122x 928f(x) = x4 19×2+ 244x 928f(x) = x4 6×3+ 20×2 122x + 928f(x) = x4 61×2+ 244x 928Using the given zero find one other zero of f(x). Explain the process you used to find your solution.2 3i is a zero of f(x) = x4 4×3+ 14×2 4x + 13.