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