is the following trinomial a perfect square? x^2-2x+1?

Answer 1

Hello,

In a polynomial like ax^2 + bx + c to be a perfect square we must have a*c = (.5*b)^2 so since a = 1, b = -2 and c = 1 we have
a*c = 1*1 = 1 and (.5*(-2))^2 which is (-1)^2 or 1 so it is true tha a*c = (.5*b)^2 which means that it is a perfect square trinomial.

Hope This Helps!!

Answer 2

yes, if you can factor it into a binomial squared////
(x-1)^2

x^2 -4x + 4 Take the square root of the last term...sq of 4 is 2, see if you can use 2 as a number in the binomial. (x-2)^2

Answer 3

Yes. It is the result of (x-1)(x-1).

Answer 4

(x-1)^2 yes