The polynomial generated from the given zeros is: $ P(x) = 12x^3-65x^2-52x+60 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -\dfrac{ 5 }{ 4 } $ | $ 4x+5 $ |
$ \dfrac{ 2 }{ 3 } $ | $ 3x-2 $ |
$ 6 $ | $ x-6 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 4x+5 \right) \cdot \left( 3x-2 \right) \cdot \left( x-6 \right) = 12x^3-65x^2-52x+60 $$