Question 371572
There is no need to use synthetic division to check if 0 is a zero of the polynomial. Every term with x in it will become zero leaving just the -4 at the end. So 0 is not a zero of P(x).<br>
We will use synthetic division to check if -2 is a zero:
<pre>
-2 |  -1   0   6   2  -4
----       2  -4  -4   4
      ------------------
      -1   2   2  -2   0
</pre>
The remainder, which is in the lower right corner, is 0! So -2 is a zero of P(x).