The polynomial generated from the given zeros is: $ P(x) = 3x^3-2x^2-19x-6 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -\dfrac{ 1 }{ 3 } $ | $ 3x+1 $ |
$ 3 $ | $ x-3 $ |
$ -2 $ | $ x+2 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 3x+1 \right) \cdot \left( x-3 \right) \cdot \left( x+2 \right) = 3x^3-2x^2-19x-6 $$