The polynomial generated from the given zeros is: $ P(x) = 5x^3-158x^2+716x+312 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -\dfrac{ 2 }{ 5 } $ | $ 5x+2 $ |
$ 6 $ | $ x-6 $ |
$ 26 $ | $ x-26 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x+2 \right) \cdot \left( x-6 \right) \cdot \left( x-26 \right) = 5x^3-158x^2+716x+312 $$