Question

Is it true that (x^2-3x+2)/(x-1) = x – 2, for all values of x?
Can someone show me how to justify this? No idea where to start!!

Answer 1

Keep in mind that if you have that (x-1) in one term of your equation, x can NOT be 1.
Think about this. Why is that so?

Answer 2

uhhh im not sure. why can't it be 1?

Answer 3

The best way to justify is generalisation, so replace x and x-2 with letters, and use general algebra to show that it would always/ not always equal x-2