Question

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Factorise: x^2 + 7x + 12​

Answer 1

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)`