Construct a polynomial function of least degree possible using the given information.
Real roots: −1, 1, 3 and (2,f(2))=(2,5)
the polynomial will be of the formp(x)=k(x+1)(x−1)(x−3)p(2)=k(3)(1)(−1)=5−3k=5k=−53p(x)=53(x+1)(x−1)(x−3)p(x)=−5x33+5x2+5x3−5