Factor completely.2, x, squared, minus, 19, x, plus, 92x 2 −19x+9

The expression you provided seems to have a typo. It should probably be "2x^2 - 19x + 9". Let's factor this quadratic equation.

The general form of a quadratic equation is ax^2 + bx + c. Here, a = 2, b = -19, and c = 9.

We are looking for two numbers that multiply to (ac = 29 = 18) and add up to b = -19.

Those two numbers are -1 and -18 because -1*-18 = 18 and -1 - 18 = -19.

Now we rewrite the middle term of the equation as the sum of (-1x and -18x):

2x^2 - x - 18x + 9

Next, we factor by grouping:

x(2x - 1) - 9(2x - 1)

Finally, we factor out the common binomial term to get the final factored form of the equation:

(2x - 1)(x - 9)

So, the factored form of 2x^2 - 19x + 9 is (2x - 1)(x - 9).