Which of the following describes the roots of the polynomial function f(x) = (x + 2)^2 (x – 4) (x + 1)^2? -2 with multiplicity 2, 4 with multiplicity 1, and -1 with multiplicity 3 -2 with multiplicity 3, 4 with multiplicity 2, and -1 with multiplicity 4 2 with multiplicity 2, -4 with multiplicity 1, and 1 with multiplicity 3 2 with multiplicity 3, -4 with multiplicity 2, and 1 with multiplicity 4

## Answer

d rightarrow f (x) = (x + 2)^2 (x – 4) (x + 1)^3 zeroes of f (x) are – 2,4,f – 1 multiplicity of (-2) = 2 multiplicity of 4 = 1 multiplicity of – 1 = 3 this four option ‘A’ is correct