Question

Factor the polynomial x2 + 2x – 3x – 6 by double grouping. Group terms with common factors: (x2 + 2x) + (– 3x – 6) Factor the GCF from each group: x(x + 2) – 3(x + 2) Write the polynomial as a product of binomials

Answer 1

1st Option on edge

Explanation:

Answer 2

We have been given a polynomial and we are asked to factor our polynomial by double grouping.

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

First of all we will group terms with common factors. We can see that
`x^(2)` and 2x have a common factor x. Common factor of -3x and -6 is -3.

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

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

Now we will factor out Greatest Common Factor from each group.

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

After factoring out GCF from each group we got (x+2) as our common binomial. Now we will write our polynomial as a product of two binomials as:

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

Therefore, our polynomial as a product of two binomials will be
`(x+2)(x-3)`.