The polynomial generated from the given zeros is: $ P(x) = 5x^3-4x^2-45x+36 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ \dfrac{ 4 }{ 5 } $ | $ 5x-4 $ |
$ -3 $ | $ x+3 $ |
$ 3 $ | $ x-3 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x-4 \right) \cdot \left( x+3 \right) \cdot \left( x-3 \right) = 5x^3-4x^2-45x+36 $$