Question

9. When we factorise x2+5x+6, then we get:
A. (x + 2) (x + 3)
B. (x-2)(x-3)
C. (x × 2) + (x × 3)
D. (x × 2) - (x ×3)​

Answer 1

⠀☆ GIVEN⠀ POLYNOMIAL  – x² + 5x  + 6  :

⠀⠀⠀⠀

$:\implies\sf x^2+3x + 6 = 0 \\\\\\\star \sf{By \:Using\:Sum-Product \:Pattern\::}\\\\ \:\implies\sf x^2 + 2x + 3x + 6= 0 \\\\\\\star\sf{Finding\:out\:Common\:Terms\::}\\\\\\:\implies\sf x(x + 2) +3(x + 2) = 0\\\\\\\star\sf{Now,\:Rewrite\:in\:Factored\:term\::}\\\\\\:\implies\sf (x + 2)\; (x + 3) = 0\\\\\\:\implies{\underline{\boxed{\frak{\purple{(x+2)(x+3)}}}}}\;\bigstar$

Therefore,

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⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm { Hence, \:The\:factors\:are\:\bf{(x+2)\:and \:(x+3)\: }}}}$

⠀⠀⠀⠀⠀⠀${\underline{ \mathrm {  \:The\:\:\: Option\:A\:is\:correct }}}$

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