The polynomial generated from the given zeros is: $ P(x) = 5x^2+23x-42 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -6 $ | $ x+6 $ |
$ \dfrac{ 7 }{ 5 } $ | $ 5x-7 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+6 \right) \cdot \left( 5x-7 \right) = 5x^2+23x-42 $$