The polynomial generated from the given zeros is: $ P(x) = x^3-6x^2-49x-66 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -2 $ | $ x+2 $ |
$ -3 $ | $ x+3 $ |
$ 11 $ | $ x-11 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+2 \right) \cdot \left( x+3 \right) \cdot \left( x-11 \right) = x^3-6x^2-49x-66 $$