Question

The factorisation of x² + 2x - 15 is
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Answer 1

Answer:

Step-by-step explanation:

x² + 2x - 15

x² + 5x - 3x - 15

x(x+5) -3 (x+5)

(x-3)(x+5)

Answer 2

GIVEN⠀ POLYNOMIAL  – x² + 2x  - 15 :

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$:\implies\sf x^2 +2x - 15 = 0 \\\\\\\star \sf{By \:Using\:Sum-Product \:Pattern\::}\\\\ \:\implies\sf x^2 + 5x - 3x -15 = 0 \\\\\\\star\sf{Finding\:out\:Common\:Terms\::}\\\\\\:\implies\sf x(x + 5) -3(x + 5) = 0\\\\\\\star\sf{Now,\:Rewrite\:in\:Factored\:term\::}\\\\\\:\implies\sf (x - 3)\; (x + 5) = 0\\\\\\:\implies{\underline{\boxed{\frak{\purple{(x - 3)\; \; (x + 5)}}}}}\;\bigstar$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm { Hence, \:The\:Factors \:are\:\bf{(x-3) (x + 5)\: }}}}$

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