The polynomial generated from the given zeros is: $ P(x) = 52x^2+19x-15 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ \dfrac{ 5 }{ 13 } $ | $ 13x-5 $ |
$ -\dfrac{ 3 }{ 4 } $ | $ 4x+3 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 13x-5 \right) \cdot \left( 4x+3 \right) = 52x^2+19x-15 $$