5. Determine the value of k so that x − 3 is a factor of x³ – 3x² +x+k a. k = 1 b. k = -3 c. k = 3 d. k = -1 6. What is the maximum number of real distinct roots that a quartic equation can have? a. Infinitely many b. 4 c. 2 d. None of the above

Advanced Engineering Mathematics
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5. Determine the value of k so that x − 3 is a factor of x³ − 3x² + x + k
a. k = 1
b. k = -3
c. k = 3
d. k = -1
6. What is the maximum number of real distinct roots that a quartic equation can have?
a. Infinitely many
b. 4
C. 2
d. None of the above
Transcribed Image Text:5. Determine the value of k so that x − 3 is a factor of x³ − 3x² + x + k a. k = 1 b. k = -3 c. k = 3 d. k = -1 6. What is the maximum number of real distinct roots that a quartic equation can have? a. Infinitely many b. 4 C. 2 d. None of the above
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