Question

Hello people~
Factorise : x² + 3x + 4x + 12​

Answer 1

(x+3)(x+4)

Explanation:

Given:

→x² + 3x + 4x + 12​

Take common from x² + 3x and 4x + 12​

Now,

`\hookrightarrow x(x+3)+4(x+3)\\`

Here,

(x+3) can be written as one.

Then,

`\hookrightarrow (x+3)(x+4)\\`

And it is our answer.

Answer 2

`\displaystyle [x + 3][x + 4]`

Explanation:

Find two quantities that when summed to 7, they also multiply to 12. Those will be 4 and 3. Sinse the entire expression is positive, the quantities STAY positive. Moreover, there is not much wourk to be done here BECAUSE the leading coefficient is one. This is all you can do:

`\displaystyle x^2 + 7x + 12 \\ \\ \boxed{[x + 3][x + 4]}`

I am joyous to assist you at any time.