Find all zeros of ƒ(x) = x3 + 2x2 – x – 2. Then determine the multiplicity at each zero. State whether the graph will touch or cross the x-axis at the zero. a.x = 1, multiplicity = 2, touch x = 2, multiplicity = 1, cross b.x = 1, multiplicity = 1, cross x = –1, multiplicity = 1, cross x = 2, multiplicity = 1, cross c.x = 1, multiplicity = 1, cross x = –1, multiplicity = 1, cross x = –2, multiplicity = 1, cross d.
Find all zeros of ƒ(x) = x3 + 2x2 – x – 2. Then determine the multiplicity at each zero. State whether the graph will touch or cross the x-axis at the zero. a.x = 1, multiplicity = 2, touch x = 2, multiplicity = 1, cross b.x = 1, multiplicity = 1, cross x = –1, multiplicity = 1, cross x = 2, multiplicity = 1, cross c.x = 1, multiplicity = 1, cross x = –1, multiplicity = 1, cross x = –2, multiplicity = 1, cross d.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find all zeros of ƒ(x) = x3 + 2x2 – x – 2. Then determine the multiplicity at each zero. State whether the graph will touch or cross the x-axis at the zero.
a.x = 1, multiplicity = 2, touch
x = 2, multiplicity = 1, cross
b.x = 1, multiplicity = 1, cross
x = –1, multiplicity = 1, cross
x = 2, multiplicity = 1, cross
c.x = 1, multiplicity = 1, cross
x = –1, multiplicity = 1, cross
x = –2, multiplicity = 1, cross
d.
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