Math Please Help! Graduating soon I need to pass!

Question

Construct a polynomial function of least degree possible using the given information.

Real roots: −1, 1, 3 and (2, f(2)) = (2, 5)

Answer 1

(x+1)(x-1)(x-3)

=(x^2-1)(x-3)

=x^3 -3x^2 -x +3

plug in the point (2,5) to solve for the coefficient of the leading term

5 = a(2^3 -3(2)^2 -2 +3)

5 =a(8 -12 +1)

5 =-3a

a =-5/3

f(x) = (-5/3)(x^3 -3x^2-x +3)

f(x) = -5x^3/3 +5x^2 + 5x/3 -5 is a function with least degree and the given zeros going through the given point