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James Chen TMUA Paper 2 · Q18

Paper 2Algebra

The cubic polynomial x3−ax2+bx−cx^3-ax^2+bx-c is equivalent to (x−a)(x−b)(x−c)(x-a)(x-b)(x-c), where a,b,ca,b,c are real non-zero constants. What is the complete set of possible values of bb?

A11
B−1-1
C11 or −1-1
DAny positive number
EAny negative number
FAll real numbers
GNo real numbers
HAny number greater than aa and less than cc
IAny number less than aa and greater than cc
Jpa+qcpa+qc, where pp and qq are integers

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