The polynomial generated from the given zeros is: $ P(x) = 4x^2-28x+45 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ \dfrac{ 9 }{ 2 } $ | $ 2x-9 $ |
$ \dfrac{ 5 }{ 2 } $ | $ 2x-5 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 2x-9 \right) \cdot \left( 2x-5 \right) = 4x^2-28x+45 $$