For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept.f(x) = 5(x2 + 2)(x2 + 1)2
A. -2, multiplicity 1, touches x-axis; -1, multiplicity 2, crosses x-axis
B. No real zeros
C. 
, multiplicity 1, crosses x-axis; -
, multiplicity 1, crosses x-axis;
1, multiplicity 2, touches x-axis; -1, multiplicity 2, touches x-axis
D. -2, multiplicity 1, crosses x-axis; -1, multiplicity 2, touches x-axis
Answer: B
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?Determine the location of the horizontal axis 
for figure (b) at which a vertical gate in a dam is to be hinged so that there is no moment causing rotation under the indicated loading (see figure (a)). The model for 
is where
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is the moment of inertia of the gate about the line 
, h is the depth of the centroid below the surface, and A is the area of the gate.
?
A. ?
B. ?
C. ?
D. ?
E. ?