Construct a polynomial function of least degree possible using the given information. Real roots:-2,1/2 with (multiplicity 2) and (-3,f(-3))=(-3,5)

Answer 1

Starting with the real roots: Factors would be:

y=a(x+2)(2x-1)(2x-1)

Now plug in the x and y value given

5=a(-3+2)(2(-3)-1)(2(-3)-1) Simplify

5=a(-1)(-7)(-7)

5=-49a

a=-5/49

y=-5/49(x+2)(2x-1)(2x-1)