The polynomial generated from the given zeros is: $ P(x) = x^2+43x+462 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -22 $ | $ x+22 $ |
$ -21 $ | $ x+21 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+22 \right) \cdot \left( x+21 \right) = x^2+43x+462 $$