Suppose f(x) is a rational function with leading term -1, has three roots: a root at z = -2 of degree 1, a root at r = 0 of

Question

Suppose f(x) is a rational function with leading term -1, has three roots: a root at z = -2 of degree 1, a root at r = 0 of degree 1, and a root at r= 1 of degree 1, f(x) also has a vertical asymptote at r= -1 of degree 3.
1) leading term: -1
2) roots : √ 2 (deg. 4), 0 (deg. 1), 1 ( deg.1)
(a) Determine the sign decomposition of f(x):

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