The polynomial generated from the given zeros is: $ P(x) = x^2-10000 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ 100 $ | $ x-100 $ |
$ -100 $ | $ x+100 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-100 \right) \cdot \left( x+100 \right) = x^2-10000 $$