The polynomial generated from the given zeros is: $ P(x) = x^3-6665x^2+6474075x-1711078875 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ 555 $ | $ x-555 $ |
$ 5555 $ | $ x-5555 $ |
$ 555 $ | $ x-555 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-555 \right) \cdot \left( x-5555 \right) \cdot \left( x-555 \right) = x^3-6665x^2+6474075x-1711078875 $$