The polynomial generated from the given zeros is: $ P(x) = 15x^3+26x^2-67x-30 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -3 $ | $ x+3 $ |
$ -\dfrac{ 2 }{ 5 } $ | $ 5x+2 $ |
$ \dfrac{ 5 }{ 3 } $ | $ 3x-5 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+3 \right) \cdot \left( 5x+2 \right) \cdot \left( 3x-5 \right) = 15x^3+26x^2-67x-30 $$