Use the given information about the polynomial graph to write the equation. Degree 5. Double zero at x = 1, and triple zero at x = 3. Passes through the point (x, y) = (2, 46).

Answer 1

f(x)= A (x-1)²(x-3)³ -- root of multiplicity 2 at x =1 , root of multiplicity 3 at x = 3.

When x = 2, y = 46:

46 = A (2-1)²(2-3)³ = -1A

So A = -46.

f(x) = -46(x-1)²(x-3)³

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