The expression $\left(x-3+\sqrt{10}\right)$(x−3+√10) is a factor of the polynomial $f\left(x\right)=x^3-10x^2+23x+4$f(x)=x3−10x2+23x+4. Which two of the following expressions are also factors of $f\left(x\right)$f(x)?
$\left(x+3\right)$(x+3)
$\left(x-3-\sqrt{10}\right)$(x−3−√10)
$\left(x+3+\sqrt{10}\right)$(x+3+√10)
$\left(x-4\right)$(x−4)
Determine the remaining zero of a polynomial with rational coefficients and with:
Determine the remaining zero of a polynomial with rational coefficients and with:
Given $\left(x+8\right)$(x+8) is a factor of the function $f\left(x\right)=x^3+2x^2-75x-216$f(x)=x3+2x2−75x−216.