Let p(x)= x+3 x^2-(k+1)x+k

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Let

p(x)=\frac{x+3}{x^2-(k+1)x+k}.

Determine the value of

k

for which

p(x)

is undefined exactly at

x=1

and

x=2

, and at no other real value of

x