The polynomial generated from the given zeros is: $ P(x) = 30x^2-11x+1 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ \dfrac{ 1 }{ 5 } $ | $ 5x-1 $ |
$ \dfrac{ 1 }{ 6 } $ | $ 6x-1 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x-1 \right) \cdot \left( 6x-1 \right) = 30x^2-11x+1 $$