The polynomial generated from the given zeros is: $ P(x) = 2500x^2+100x-28899 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ \dfrac{ 169 }{ 50 } $ | $ 50x-169 $ |
$ -\dfrac{ 171 }{ 50 } $ | $ 50x+171 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 50x-169 \right) \cdot \left( 50x+171 \right) = 2500x^2+100x-28899 $$