Question 7 Which statement is true? a) A degree 3 function may have 2 or 3 real zeros. b) A degree 3 function may have 1 or 2 real zeros. c) A degree 3 function may have no real zero. d) a and b. e) a and c. Question 8 Choose the correct equation of a quartic function f(x) with zeros -2, 0, 1, 4 and such that as x is-, f(x) a) f(x) = -x(x-2)(x + 1)(x + 4). b) f(x) = -x(x + 2)(x - 1)(x-4). Oc) f(x) = x(x-2)(x + 1)(x+4). d) fx) = x(x + 2)(x - 1)(x-4).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please answer both with explanation
Question 7
Which statement is true?
a) A degree 3 function may have 2 or 3 real zeros.
b) A degree 3 function may have 1 or 2 real zeros.
c) A degree 3 function may have no real zero.
d) a and b.
e) a and c.
Question 8
Choose the correct equation of a quartic function f(x) with zeros -2, 0, 1, 4 and such
that as x is-, fx)
a) f(x) = -x(x-2)(x + 1)(x+4).
b) f(x) = -x(x + 2)(x - 1)(x-4).
Oc) f(x) = x(x-2)(x + 1)(x+4).
d) f(x)= x(x + 2)(x - 1)(x-4).
Transcribed Image Text:Question 7 Which statement is true? a) A degree 3 function may have 2 or 3 real zeros. b) A degree 3 function may have 1 or 2 real zeros. c) A degree 3 function may have no real zero. d) a and b. e) a and c. Question 8 Choose the correct equation of a quartic function f(x) with zeros -2, 0, 1, 4 and such that as x is-, fx) a) f(x) = -x(x-2)(x + 1)(x+4). b) f(x) = -x(x + 2)(x - 1)(x-4). Oc) f(x) = x(x-2)(x + 1)(x+4). d) f(x)= x(x + 2)(x - 1)(x-4).
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