Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. n= 43; - 1, 3, and 2 +3i are zeros; f(1) = - 120 f(x) =O (Type an expression using x as the variable. Simplify your answer.)

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If…

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Q: The function is in polynomial degree. Get all the roots. f(x) = x6-3x5-5x4+12x3+20x2+8x

A: The function is in polynomial degree.To get all the roots.fx=x6-3x5-5x4+12x3+20x2+8x

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.