The polynomial generated from the given zeros is: $ P(x) = 9x^2-9x-4 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -\dfrac{ 1 }{ 3 } $ | $ 3x+1 $ |
$ \dfrac{ 4 }{ 3 } $ | $ 3x-4 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 3x+1 \right) \cdot \left( 3x-4 \right) = 9x^2-9x-4 $$