The polynomial generated from the given zeros is: $ P(x) = x^2+16x+64 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -8 $ | $ x+8 $ |
$ -8 $ | $ x+8 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+8 \right) \cdot \left( x+8 \right) = x^2+16x+64 $$