Question

I don't know if I got the factors or irrational zeros correct.and the factor of f(x)

Answer 1

Given the polynomial f(x):

`f(x)=x^3-x^2-23x+35`

we have that the zeros of the function are:

`\begin{gathered} x_1=-5 \\ x_2=3-\sqrt[]{2} \\ x_3=3+\sqrt[]{2} \end{gathered}`

then, the factored form of f(x) is:

`f(x)=(x-(-5))(x-(3-\sqrt[]{2}))(x-(3+\sqrt[]{2}))=(x+5)(x-3+\sqrt[]{2})(x-3-\sqrt[]{2})`