To make a polynomial function have a zero at a specific x-value, you can do this:
y = ( x - b )
where b is the value at which you would like y to equal zero.
Three different equations with this could be:
[tex]y = (x+8)(x-\frac{2}{3})(x-\frac{5}{2} )\\\\y = (x+4)(x+8)(x-\frac{2}{3})(x-\frac{5}{2} )\\\\y = (x-4)(x+8)(x-\frac{2}{3})(x-\frac{5}{2} )[/tex]