Factor completely.5, x, squared, minus, 7, x, plus, 25x 2 −7x+2

The expression you provided seems to have a typo. It should probably be either "5x^2 - 7x + 2" or "25x^2 - 7x + 2".

Let's assume the expression is "5x^2 - 7x + 2". Here's how to factor it:

1. First, we look for two numbers that multiply to (5*2)=10 and add to -7. Those numbers are -5 and -2.

2. Rewrite the middle term of the quadratic as -5x - 2x: 5x^2 - 5x - 2x + 2.

3. Factor by grouping: 5x(x - 1) - 2(x - 1).

4. Notice that (x - 1) is a common factor: (5x - 2)(x - 1).

So, the factored form of 5x^2 - 7x + 2 is (5x - 2)(x - 1).

If the expression is "25x^2 - 7x + 2", the factoring process is similar but the numbers that multiply to (25*2)=50 and add to -7 are not integers, so the expression cannot be factored using integers.