The polynomial generated from the given zeros is: $ P(x) = 500x^3-300x^2+55x-3 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ \dfrac{ 1 }{ 10 } $ | $ 10x-1 $ |
$ \dfrac{ 1 }{ 5 } $ | $ 5x-1 $ |
$ \dfrac{ 3 }{ 10 } $ | $ 10x-3 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 10x-1 \right) \cdot \left( 5x-1 \right) \cdot \left( 10x-3 \right) = 500x^3-300x^2+55x-3 $$