The polynomial generated from the given zeros is: $ P(x) = x^3-6x^2-7x $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -1 $ | $ x+1 $ |
$ 0 $ | $ x $ |
$ 7 $ | $ x-7 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+1 \right) \cdot x \cdot \left( x-7 \right) = x^3-6x^2-7x $$