The polynomial generated from the given zeros is: $ P(x) = x^3+3x^2-97x-99 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ 9 $ | $ x-9 $ |
$ -11 $ | $ x+11 $ |
$ -1 $ | $ x+1 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-9 \right) \cdot \left( x+11 \right) \cdot \left( x+1 \right) = x^3+3x^2-97x-99 $$