Question

Factor the following polynomial completely by grouping. If the expression cannot be factored, enter the expression as is

Answer 1

Notice that x is a common factor for the first two terms, and that -3 is a common factor for the last two terms. Factor them out from the expression:

`x^2+2x-3x-6=x(x+2)-3(x+2)`

Now it is clear that the binomial (x+2) is a common factor for the expression. Factor out (x+2):

`x(x+2)-3(x+2)=(x-3)(x+2)`

Therefore, the answer is:

`(x-3)(x+2)`

Answer 2

(x + 2)(x -3)

Explanation:

x² + 2x - 3x - 6

In the expression (x² + 2x), x is the common factor, and take the common factor out. In the same way, (-3x - 6), (-3) is the common factor and take the common factor fromthe expression (-3x -6).

x² + 2x - 3x - 6 = (x*x + 2*x) - 3x - 3*2

= x(x + 2) -3(x + 2) {Now, the common factor is (x +2)}

=(x + 2)(x - 3)