Find the zeros of the following polynomial x^2-2x+1

If the polynomial is of the form x^2+bx+c (ie., no factor in front of the x^2!!) then you can look for numbers that add up to b and multiply to c.

So in this case: what two numbers, when added, give -2 and when multiplied, give 1? A little trial and error gives you -1 and -1.
So the factorization is (x-1)(x-1). This is zero for x=1. There is only one zero.

You want to put all like terms together In some cases you can take the denominator and multiply it to both sides of the equation... Then solve it like a regular linear equation