Factor.x, squared, plus, 2, x, minus, 80x 2 +2x−80

The given expression is x^2 + 2x - 80.

To factorize this, we need to find two numbers that multiply to -80 (the constant term) and add to 2 (the coefficient of the middle term).

The numbers that satisfy this are 10 and -8 because 10*-8 = -80 and 10 + (-8) = 2.

So, we can write the expression as:

x^2 + 10x - 8x - 80

Now, we can factor by grouping:

x(x + 10) - 8(x + 10)

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

(x - 8)(x + 10)