The polynomial generated from the given zeros is: $ P(x) = 6x^2-11x+3 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ \dfrac{ 3 }{ 2 } $ | $ 2x-3 $ |
$ \dfrac{ 1 }{ 3 } $ | $ 3x-1 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 2x-3 \right) \cdot \left( 3x-1 \right) = 6x^2-11x+3 $$