The polynomial generated from the given zeros is: $ P(x) = 25x^2-140x+132 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ \dfrac{ 6 }{ 5 } $ | $ 5x-6 $ |
$ \dfrac{ 22 }{ 5 } $ | $ 5x-22 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x-6 \right) \cdot \left( 5x-22 \right) = 25x^2-140x+132 $$