The polynomial generated from the given zeros is: $ P(x) = 1250x^2-75x-14877 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -\dfrac{ 171 }{ 50 } $ | $ 50x+171 $ |
$ \dfrac{ 87 }{ 25 } $ | $ 25x-87 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 50x+171 \right) \cdot \left( 25x-87 \right) = 1250x^2-75x-14877 $$