Factor.x, squared, plus, 2, x, minus, 15x 2 +2x−15

The expression you provided is x^2 + 2x - 15. Here are the steps to factor it:

Step 1: Write down the expression x^2 + 2x - 15

Step 2: Identify the coefficients of the quadratic equation. Here, a = 1 (coefficient of x^2), b = 2 (coefficient of x), and c = -15 (constant term).

Step 3: Find two numbers that multiply to give ac (a times c), and add to give b. In this case, we need two numbers that multiply to -15 and add to 2. The numbers 5 and -3 fit these criteria because 5*(-3) = -15 and 5 + (-3) = 2.

Step 4: Rewrite the middle term of the quadratic equation (2x) as the sum of the terms 5x and -3x. x^2 + 5x - 3x - 15

Step 5: Factor by grouping. Group the first two terms together and the last two terms together, and factor out the greatest common factor (GCF) from each group. x(x + 5) - 3(x + 5)

Step 6: Notice that the expressions in parentheses are the same. Factor out the common binomial. (x - 3)(x + 5)

So, the factored form of the expression x^2 + 2x - 15 is (x - 3)(x + 5).