The polynomial generated from the given zeros is: $ P(x) = x^3+3x^2-54x-112 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ 7 $ | $ x-7 $ |
$ -8 $ | $ x+8 $ |
$ -2 $ | $ x+2 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-7 \right) \cdot \left( x+8 \right) \cdot \left( x+2 \right) = x^3+3x^2-54x-112 $$