The polynomial generated from the given zeros is: $ P(x) = x^2-37x+330 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ 15 $ | $ x-15 $ |
$ 22 $ | $ x-22 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-15 \right) \cdot \left( x-22 \right) = x^2-37x+330 $$