The polynomial generated from the given zeros is: $ P(x) = x^4-35x^3+383x^2-1309x $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ 11 $ | $ x-11 $ |
$ 17 $ | $ x-17 $ |
$ 0 $ | $ x $ |
$ 7 $ | $ x-7 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-11 \right) \cdot \left( x-17 \right) \cdot x \cdot \left( x-7 \right) = x^4-35x^3+383x^2-1309x $$