The polynomial generated from the given zeros is: $ P(x) = 6x^3+x^2-85x+28 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -4 $ | $ x+4 $ |
$ \dfrac{ 1 }{ 3 } $ | $ 3x-1 $ |
$ \dfrac{ 7 }{ 2 } $ | $ 2x-7 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+4 \right) \cdot \left( 3x-1 \right) \cdot \left( 2x-7 \right) = 6x^3+x^2-85x+28 $$