The polynomial generated from the given zeros is: $ P(x) = 9x^2-10x+1 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ 1 $ | $ x-1 $ |
$ \dfrac{ 1 }{ 9 } $ | $ 9x-1 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-1 \right) \cdot \left( 9x-1 \right) = 9x^2-10x+1 $$