The polynomial generated from the given zeros is: $ P(x) = x^2+2x-63 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ 7 $ | $ x-7 $ |
$ -9 $ | $ x+9 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-7 \right) \cdot \left( x+9 \right) = x^2+2x-63 $$