Find all zeros of ƒ(x) = x4 – 22x3 + 121x2. Then determine the multiplicity at each zero. State whether the graph will touch or cross the x-axis at the zero. a.  x = 0, multiplicity = 2, cross x = 11, multiplicity = 2, cross b. x = 0, multiplicity = 2, touch x = 11, multiplicity = 2, touch c. x = 0, multiplicity = 2, touch x = 11, multiplicity = 1, cross x = –11, multiplicity 1, cross d. x = 0, multiplicity = 2, touch x = –11, multiplicity = 2, touch

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find all zeros of ƒ(x) = x4 – 22x3 + 121x2. Then determine the multiplicity at each zero. State whether the graph will touch or cross the x-axis at the zero.

a.  x = 0, multiplicity = 2, cross
x = 11, multiplicity = 2, cross
b.
x = 0, multiplicity = 2, touch
x = 11, multiplicity = 2, touch
c.
x = 0, multiplicity = 2, touch
x = 11, multiplicity = 1, cross
x = –11, multiplicity 1, cross
d.
x = 0, multiplicity = 2, touch
x = –11, multiplicity = 2, touch
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