What is the degree 3 polynomial that has zeros - 3,2 and 5 and in which the coefficient of x^2 is - 8?

For zeroes/roots r1, r2, r3

the facors of the polynomial is

(x-r1) (x-r2) (x-r3)

roots

-3,2,5

(x - (-3)) (x-2) (x-5)

(x+3) (x-2) (x-5)

the coefient of the x term is - 4

so mutliply the whole thing by 2

(2) (x+3) (x-2) (x-5)

expand

f (x) = 2x^3-8x^2-22x+60