7. Consider the polynomial equation 3x3 +8x²-33x+10=0. a. b. c. d. According to Descartes' Rule of Signs, how many positive (true) roots could there be? According to Descartes' Rule of Signs, how many negative (false) roots could there be? According to the Rational Root Theorem, what are the possible rational roots of this equation? If I tell you that x=-5 is a root, use long division and then find the remaining two roots.
7. Consider the polynomial equation 3x3 +8x²-33x+10=0. a. b. c. d. According to Descartes' Rule of Signs, how many positive (true) roots could there be? According to Descartes' Rule of Signs, how many negative (false) roots could there be? According to the Rational Root Theorem, what are the possible rational roots of this equation? If I tell you that x=-5 is a root, use long division and then find the remaining two roots.
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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Transcribed Image Text:7. Consider the polynomial equation 3x3 +8x²-33x+10=0.
a.
b.
c.
d.
According to Descartes' Rule of Signs, how many positive (true) roots could there be?
According to Descartes' Rule of Signs, how many negative (false) roots could there be?
According to the Rational Root Theorem, what are the possible rational roots of this equation?
If I tell you that x=-5 is a root, use long division and then find the remaining two roots.
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