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

Answer:

1st Option on edge

Step-by-step 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 $(x+2)(x-3)$.