Answer :
we have:
[tex]\begin{gathered} f\mleft(x\mright)\: =x^4-9x^3+32x^2-10x-52 \\ x^4-9x^3+32x^2-10x-52=0 \\ then\text{ x intercept }in\text{ (-1,0) and }(2,0) \end{gathered}[/tex]answer: zeros in x = -1 and x = 2
[tex]\begin{gathered} f\mleft(x\mright)=4x^5-48x^4+169x^3-157x^2-309x-91 \\ 4x^5-48x^4+169x^3-157x^2-309x-91=0 \\ then\text{ x intercept in (}7,0)\text{ and (}-\frac{1}{2},0) \end{gathered}[/tex]answer: zeros in x = 7 and x = -1/2