Question 371217
{{{f(x) = x^3 + 9x^2 + 24x + 16 }}}
One of the quickest ways to find a zero is to use Synthetic Division:
<pre>
-1 |  1   9   24   16
----     -1   -8  -16
      ---------------
      1   8   16    0
</pre>
Right off the bat we have a zero: -1 And f(x) factors into
{{{f(x) = (x+1)(x^2 +8x +16)}}}
The second factor is easily factored giving us:
{{{f(x) = (x+1)(x+4)(x+4)}}}
We can now see the zeros of f(x): -1 and -4 (twice)