The polynomial generated from the given zeros is: $ P(x) = 25x^2-75x+54 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ \dfrac{ 6 }{ 5 } $ | $ 5x-6 $ |
$ \dfrac{ 9 }{ 5 } $ | $ 5x-9 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x-6 \right) \cdot \left( 5x-9 \right) = 25x^2-75x+54 $$