The polynomial generated from the given zeros is: $ P(x) = 625x^3-15000x^2+114989x-284934 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ 6 $ | $ x-6 $ |
$ \dfrac{ 281 }{ 25 } $ | $ 25x-281 $ |
$ \dfrac{ 169 }{ 25 } $ | $ 25x-169 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-6 \right) \cdot \left( 25x-281 \right) \cdot \left( 25x-169 \right) = 625x^3-15000x^2+114989x-284934 $$