Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): − 5 , 2 , 4 . Assume the leading coefficient is 1.

Answer 1

zeroes are -5, 2, 4

change the signs to 5,-2, -4

then stick an x in front of each. then multiply them together

f(x) = (x+5)(x-2)(x-4)

leading coefficient is the coefficient of the highest powered term, x^3, which has an implicit 1 as the coefficient.