Factor this polynomial expression 2x2+12x+18

(2x + 6)(x + 3)

Step-by-step explanation:

2x^2 + 12x + 18

The above equation can be factorize as follows.

First multipy the first term(2x^2) and the last term (18) together as shown below

2x^2 x 18 = 36x^2

Next we will find the factor of 36x^2 such that the sum of the two factors will result to the second term in the equation (ie 12x). This factors are 6x and 6x. Now, let us put these factors in the equation, we have:

2x^2 +12x + 18

2x^2 + 6x + 6x + 18

Now we can factorize as follows

2x(x + 3) + 6(x + 3)

Now we have same entity in the two brackets., we'll pick one

(2x + 6)(x + 3)