Question

Find the equation for a polynomial f(x) that satisfies the following:Degree 5- Root of multiplicity 1 at 2 = 1- Root of multiplicity 2 at x = 2- Root of multiplicity 2 at x = -2y-intercept of (0,–32)

Answer 1

The equation for this polynomial is:

`\begin{gathered} 2(x-1)(x-2)^2(x+2)^2 \\ 2x^5-2x^4-16x^3+16x^2+32x-32 \end{gathered}`

So that's the equation we're asking for.

Both could be the answers. However, this is the final one:

`2x^5-2x^4-16x^3+16x^2+32x-32`