The polynomial generated from the given zeros is: $ P(x) = 5x^2+24x-5 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ -5 $ | $ x+5 $ |
$ \dfrac{ 1 }{ 5 } $ | $ 5x-1 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+5 \right) \cdot \left( 5x-1 \right) = 5x^2+24x-5 $$