The polynomial generated from the given zeros is: $ P(x) = 62500x^3-250000x^2-187489x+749956 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -\dfrac{ 433 }{ 250 } $ | $ 250x+433 $ |
$ \dfrac{ 433 }{ 250 } $ | $ 250x-433 $ |
$ 4 $ | $ x-4 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 250x+433 \right) \cdot \left( 250x-433 \right) \cdot \left( x-4 \right) = 62500x^3-250000x^2-187489x+749956 $$