The polynomial generated from the given zeros is: $ P(x) = 50x^2-195x+162 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ \dfrac{ 6 }{ 5 } $ | $ 5x-6 $ |
$ \dfrac{ 27 }{ 10 } $ | $ 10x-27 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x-6 \right) \cdot \left( 10x-27 \right) = 50x^2-195x+162 $$