The Hidden Prime

Algebra Level 2

x2P(x2)(x3)(x5)=Ax2+Bx3+Cx5\dfrac{x^2 - P}{(x - 2)(x - 3)(x - 5)} = \dfrac{A}{x - 2} + \dfrac{B}{x - 3} + \dfrac{C}{x - 5}

The equation above represents a partial fraction decomposition for constants A,B,CA,B,C and PP.

What is the smallest value of the prime number PP such that A,BA,B and CC are all integers?

×

Problem Loading...

Note Loading...

Set Loading...