Question

9. [Factorisation] * Factorise x² + 3x + 4x + 12

Answer 1

Answer:

Step-by-step explanation:

x² + 3x + 4x + 12 =x(x+3) +  4(x+3)=

(x+3)(x+4)

Answer 2

Answer:

The factorization of $x^{2}+3 x+4 x+12$ is (x+4)(x+3)

Solution:

Given Data:

$x^{2}+3 x+4 x+12$

To Find:

Factorise of the given data?

Step 1:

Grouping:

$\left(x^{2}+3 x\right)(+4 x+12)$

Step 2:

Factoring:

Quadratic has two parts.

$\left(x^{2}+3 x\right)(+4 x+12)$

We see that the first terms have an x in common, and the second terms have a 4 in common, so we can factor that out to get x(x+3)+4(x+3)  

Step 3:

We now see that both terms have an x+3 in common, so we can finally factor that out to get (x+3)(x+4)

hence the factorization of $x^{2}+3 x+4 x+12 is (x+4)(x+3)$