The polynomial generated from the given zeros is: $ P(x) = 7x^3-9x^2-9072x+11664 $
Step 1: Turn the zeros into factors:
Zero | Factor |
$ 36 $ | $ x-36 $ |
$ -36 $ | $ x+36 $ |
$ \dfrac{ 9 }{ 7 } $ | $ 7x-9 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-36 \right) \cdot \left( x+36 \right) \cdot \left( 7x-9 \right) = 7x^3-9x^2-9072x+11664 $$