The polynomial generated from the given zeros is: $ P(x) = 4x^2-27x+18 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ \dfrac{ 3 }{ 4 } $ | $ 4x-3 $ |
$ 6 $ | $ x-6 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 4x-3 \right) \cdot \left( x-6 \right) = 4x^2-27x+18 $$