Given the polynomial f(x):
[tex]f(x)=x^3-x^2-23x+35[/tex]
we have that the zeros of the function are:
[tex]\begin{gathered} x_1=-5 \\ x_2=3-\sqrt[]{2} \\ x_3=3+\sqrt[]{2} \end{gathered}[/tex]
then, the factored form of f(x) is:
[tex]f(x)=(x-(-5))(x-(3-\sqrt[]{2}))(x-(3+\sqrt[]{2}))=(x+5)(x-3+\sqrt[]{2})(x-3-\sqrt[]{2})[/tex]
