The polynomial generated from the given zeros is: $ P(x) = 100x^2-460x+513 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ \dfrac{ 19 }{ 10 } $ | $ 10x-19 $ |
$ \dfrac{ 27 }{ 10 } $ | $ 10x-27 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 10x-19 \right) \cdot \left( 10x-27 \right) = 100x^2-460x+513 $$