Question

Hello people ~
Factorise: x^2 + 7x + 12​

Answer 1

Step-by-step explanation:

x^2 + (4+3)X + 12

x^2 + 4x + 3X + 12

X (X + 4) + 3 ( X + 4)

( X + 3) (X +4)

Answer 2

Solving steps:

$\sf \rightarrow x^2\:+\:7x\:+\:12$

breakdown the following

$\sf \rightarrow x^2\:+\:3x + 4x\:+\:12$

break the expressions into groups

$\sf \rightarrow \left(x^2+3x\right)+\left(4x+12\right)$

factor the following

$\rightarrow \sf x\left(x+3\right)+4\left(x+3\right)$

factor the common term: (x+3)

$\rightarrow \sf \left(x+3\right)\left(x+4\right)$