Question

factorise x² + 3x + 18​

Answer 1

Correct Question:

${x}^{2} - 3x - 18$

Required answer:-

(x−6)(x+3)

Solution:-

${x}^{2} - 6x + 3x - 18 \boxed{ \green{ (split\: the \: middle \: term)}}$

$= ( {x}^{2} - 6x) + (3x - 18) \: \boxed{ \red{ (group \: the \: pair \: of \: terms)}}$

$= x( x - 6) + 3(x - 6) \:\boxed{ \green{factor \: the \: binomials}}$

$= (x - 6)(x + 3)$