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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)

Respuesta :

The equation for this polynomial is:

[tex]\begin{gathered} 2(x-1)(x-2)^2(x+2)^2 \\ 2x^5-2x^4-16x^3+16x^2+32x-32 \end{gathered}[/tex]

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

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

[tex]2x^5-2x^4-16x^3+16x^2+32x-32[/tex]