Use the Factor Theorem to determine a polynomial equation, of lowest degree, that has only the indicated roots:

2 is a double root, 0 is a root of multiplicity 5

Hello!

Root 2 means (x-2) as a factor, double root means (x-2)^2.

Also "0 is a root of multiplicity 5" means x^5.

x^5*(x-2)^2 = 0.

We can remove parentheses: (x-2)^2 = x^2 - 4x + 4,

x^5*(x-2)^2 = x^7 - 4x^6 + 4x^5 (=0).

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