Question

Is it true that (x^2–3x+2)/(x –1) = x – 2, for all values of x? Justify your answer.

Answer 1

x²-3x+2=0

x²-2x-x+2=0

(x²-2x)(-x+2)=0

x(x-2)-1(x-2)=0

(x-2)(x-1)=0

x-2=0 or x-1=0

x=2 or x=1