Factor completely.5, x, squared, minus, 11, x, plus, 25x 2 −11x+2

The expression you provided seems to have a typo. It should probably be either "5x^2 - 11x + 2" or "25x^2 - 11x + 2".

Let's assume the expression is "5x^2 - 11x + 2".

To factor this, we look for two numbers that multiply to (5*2)=10 and add up to -11. Those numbers are -10 and -1.

So, we rewrite -11x as -10x - x:

5x^2 - 10x - x + 2

Then, we factor by grouping:

5x(x - 2) - 1(x - 2)

Finally, we factor out the common binomial term to get the final answer:

(5x - 1)(x - 2)

If the expression is "25x^2 - 11x + 2", the process is similar but the numbers that multiply to (25*2)=50 and add up to -11 are -10 and -5. The final answer in this case would be:

(5x - 1)(5x - 2)