Answer:
Step-by-step explanation:
please note -2 is not a zero ,it should be 2 is a zero.
by synthetic division
2| 1 4 -10 -4
| 2 12 4
|----------------
1 6 2 | 0
x²+6x+2=0
[tex]x=\frac{-6 \pm \sqrt{36-8} }{2} \\or~x=\frac{-6 \pm2\sqrt{7} }{2} \\or ~x=-3\pm \sqrt{7} \\h(x)=(x-2)(x^2+6x+2)=(x-2)(x-3+\sqrt{7} )(x-3-\sqrt{7})[/tex]