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

Question

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

f(x) =

Answer 1

f(x) = k(x+1)^2 (x-1)

5 = k(2+1)^2 (2-1)

5 = k(9)

5/9 = k

y = 5/9( x+1)^2 (x-1)