Let P(x)=(x-1)(x-2)(x-3). For how many polynomials Q(x) does there exist a polynomial R(x) of degree 3 such that P(Q(x))=P(x) \cdot R(x) ?
Answer Choices
A. 19
B. 22
C. 24
D. 27
E. 32
Let P(x)=(x-1)(x-2)(x-3). For how many polynomials Q(x) does there exist a polynomial R(x) of degree 3 such that P(Q(x))=P(x) \cdot R(x) ?
Answer Choices
A. 19
B. 22
C. 24
D. 27
E. 32