The polynomial generated from the given zeros is: $ P(x) = 56x^3-101x^2-181x-60 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -\dfrac{ 4 }{ 7 } $ | $ 7x+4 $ |
$ -\dfrac{ 5 }{ 8 } $ | $ 8x+5 $ |
$ 3 $ | $ x-3 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 7x+4 \right) \cdot \left( 8x+5 \right) \cdot \left( x-3 \right) = 56x^3-101x^2-181x-60 $$