Answer
$\frac{-5\pm\sqrt {5}}{2}$
Work Step by Step
Step 1. Use the given coefficients of the polynomial to set up a division as shown in the figure.
Step 2. Perform a synthetic division and find the quotient as $x^2+5x+5$.
Step 3. Solve $x^2+5x+5=0$ to get $x=\frac{-5\pm\sqrt {5^2-4(5)}}{2}=\frac{-5\pm\sqrt {5}}{2}$
