Question 22514
<pre>Find the polynomial function that has the given zeros: 0, -2, and –3. 
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This is done by solving in reverse.  If you had solved the equation,
you would have ended up with

x = 0,  x = -2 and x = -3

Before that you would have had

x = 0, x + 2 = 0 and x + 3 = 0

Before that you would have had

x(x + 2)(x + 3) = 0

Before that you would have had

(x<sup>2</sup> + 2x)(x + 3) = 0

Before that you would have had

x<sup>3</sup> + 3x<sup>2</sup> + 2x<sup>2</sup> + 6x = 0 or

x<sup>3</sup> + 5x<sup>2</sup> + 6x = 0

The polynomial function to find the zeros of would have been
 
P(x) = x<sup>3</sup> + 5x<sup>2</sup> + 6x

Edwin
AnlytcPhil@aol.com</pre>