Factor.x, squared, minus, 13, x, plus, 30x 2 −13x+30

The expression you provided is x^2 - 13x + 30. To factor this, we need to find two numbers that multiply to 30 (the last term) and add to -13 (the coefficient of the middle term).

The numbers that satisfy these conditions are -10 and -3 because -10*-3 = 30 and -10 + -3 = -13.

So, we can write the expression as:

x^2 - 10x - 3x + 30

Now, we can factor by grouping:

x(x - 10) - 3(x - 10)

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

(x - 10)(x - 3)

So, x^2 - 13x + 30 = (x - 10)(x - 3)