The polynomial generated from the given zeros is: $ P(x) = 4x^2+53x-105 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ \dfrac{ 7 }{ 4 } $ | $ 4x-7 $ |
$ -15 $ | $ x+15 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 4x-7 \right) \cdot \left( x+15 \right) = 4x^2+53x-105 $$