The polynomial generated from the given zeros is: $ P(x) = 10000x^3-80000x^2+129911x-19822 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ 2 $ | $ x-2 $ |
$ \dfrac{ 17 }{ 100 } $ | $ 100x-17 $ |
$ \dfrac{ 583 }{ 100 } $ | $ 100x-583 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-2 \right) \cdot \left( 100x-17 \right) \cdot \left( 100x-583 \right) = 10000x^3-80000x^2+129911x-19822 $$