The polynomial generated from the given zeros is: $ P(x) = x^3+1511x^2+411226x-127758744 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -828 $ | $ x+828 $ |
$ 179 $ | $ x-179 $ |
$ -862 $ | $ x+862 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+828 \right) \cdot \left( x-179 \right) \cdot \left( x+862 \right) = x^3+1511x^2+411226x-127758744 $$