The polynomial generated from the given zeros is: $ P(x) = x^2-493x-464138 $
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 971 $ | $ x-971 $ |
| $ -478 $ | $ x+478 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-971 \right) \cdot \left( x+478 \right) = x^2-493x-464138 $$