Zeros of Polynomial Functions

Question

The polynomial of degree 4,  has a root of multiplicity 2 at  and roots of multiplicity 1 at  and . It goes through the point .Find a formula for . Keep the answer in factored form.

Answer 1

(x-1)^2(x+2)x = 0

let x = 5

and (5-1)^2(5+2)(5) = 16(7)(5)= 560 which doesn't equal 112

but if the zeroes or roots had been 1,1,-2, and 4, then f(x) = 112

(x-1)^2(x+2)(x-4) = 112 when x = 5

I think you copied the problem wrong