Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. write the polynomial in standard form. 2,5-i

Hence, the polynomial function in standard form is:

Step-by-step explanation:

We are given a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros 2,5-i.

As we know that the polynomial function has rational coefficients.

so any complex root always appear in pair.

so as 5-i is a root of f(x) then it's complex conjugate 5+i is also an root of f(x).

Hence f(x) could be represented as:  

Hence, the polynomial function in standard form is:

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