<PRE><B>Question 247328</B>
Write the simplest polynomial function with the given zeros (-2, 2, 4)
&lt;pre&gt;&lt;font size = 4 color = &quot;indigo&quot;&gt;&lt;b&gt;
The simplest polynomial function with real zeros 

z&lt;sub&gt;1&lt;/sub&gt;, z&lt;sub&gt;2&lt;/sub&gt;, z&lt;sub&gt;3&lt;/sub&gt;, ... z&lt;sub&gt;n&lt;/sub&gt; 

is found by starting with 

P(x) = (x-z&lt;sub&gt;1&lt;/sub&gt;)(x-z&lt;sub&gt;2&lt;/sub&gt;)...(x-z&lt;sub&gt;n&lt;/sub&gt;)

and multiplying it out.

So the simplest polynomial function with xeros -2, 2, and 4 is

P(x) = [x-(-2)](x-2)(x-4)

P(x) = [x+2](x-2)(x-4)

P(x) = (x+2)(x-2)(x-4)

P(x) = (x&lt;sup&gt;2&lt;/sup&gt;-2x+2x-4)(x-4)

P(x) = (x&lt;sup&gt;2&lt;/sup&gt;-4)(x-4)

P(x) = x&lt;sup&gt;3&lt;/sup&gt;-4x&lt;sup&gt;2&lt;/sup&gt;-4x+16

Edwin&lt;/pre&gt;</PRE>