Question

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

Answer 1

Explanation:

x² + 3x + 4x + 12 =x(x+3) + 4(x+3)=

(x+3)(x+4)

Answer 2

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)`