O POLYNOMIAL AND RATIONAL FUNCTIONSFinding a polynomial of a given degree with given zeros: Real.

Explanation:
For these numbers
1,-6,3,8 and -4
to be zeros of that polynomial, those values should make the function zero, then each factor corresponds to the additive inverse, in this case:
[tex]f(x)=(x-1)(x+6)(x-3)(x-8)(x+4)[/tex]That is the factored form of the polynomial.
Answer:
[tex]f(x)=(x-1)(x+6)(x-3)(x-8)(x+4)[/tex]