Factor x2 − 2x + 3. (x − 3)(x − 1) (x + 3)(x + 1) (x − 3)(x + 1) prime

The correct answer is:     Prime.

We are given a quadratic expression in terms of variable ''x'' as:

Now we are asked to factorize the given polynomial expression of possible.

1)

                           (x − 3)(x − 1)

On expanding this expression we get:

which is not equal to the given expression.

Hence, option: 1 is incorrect.

2)

                       (x + 3)(x + 1)

which is not equal to the given expression.

Hence, option: 2 is incorrect.

3)

                             (x − 3)(x + 1)

Hence, again this is not the required expression.

Hence , option: 3 is incorrect.

         Hence, the answer is:

                    Prime.