<PRE><B>Question 675147</B>
&lt;pre&gt;&lt;font face = &quot;Tohoma&quot; size = 3 color = &quot;indigo&quot;&gt;&lt;b&gt; 
Hi
Re: TY, graph was for demonstration only, in this case:
Note: The factor theorem states that a polynomial f(x) has a factor (x &amp;#8722; k)if and only if f(k) = 0
IF -x^2(x+2)(x-1)(x+1)= 0   || IF f(k) = 0, then the resulting &quot;k(s)&quot; are x-intercepts!
 -x^2 = 0     ||x = 0
0r (x+2) = 0  || x = -2
0r (x-1) = 0  ||  x = 1
0r (x+1)  = 0 || x = -1
-x^2(x+2)(x^2-1) = -x^2(x+2)(x-1)(x+1)  |||x-intercepts are -2,-1,0,1
Might recommend checking out downloading this FREE graphing software
&lt;html&gt;&lt;body link=&quot;blue&quot;&gt;&lt;p&gt;&lt;a href=&quot;http://www.padowan.dk/&quot;&gt; www.padowan.dk &lt;a&gt;&lt;/p&gt;
{{{drawing(300,300,   -6, 6, -6, 6, grid(1),
circle(-1, 0,0.2),
circle(-2, 0,0.2),
circle(0, 0,0.2),
circle(1, 0,0.2),
graph( 300, 300, -6, 6, -6, 6,0,-x^2(x+2)(x^2-1)))}}}
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