Think at basic level

Algebra Level 5

Let P ( x ) = ( x − 1 ) ( x − 2 ) ( x − 3 ) . P(x) = (x - 1)(x - 2)(x - 3). .For how many polynomials Q ( x ) Q(x) does there exists a polynomial R ( x ) R(x) of degree 3 such that P ( Q ( x ) ) = P ( x ) R ( x ) ? P(Q(x)) = P(x)R(x)?


The answer is 22.

U Z by U Z , 24, Guyana

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