Polynomial function that has the zeros -5 and 4i

is the required polynomial function of the form

Step-by-step explanation:

The given zeroes of the polynomial is -5 and 4i.

It implies, the roots of the polynomial is (x+5) and (x-4i)

Now, The Polynomial = Product of all its roots

So, here P(x) =  ( x + 5)( x - 4i)

or,

⇒

Hence, P(x) is the required polynomial function of the form

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step-by-step explanation: