Math, asked by anithsanthoshkumar, 9 months ago

x^3 + 2x^2 - x - 2 - Factorise completely

Answers

Answered by Anonymous
137

\huge{\bold☘}\mathfrak\pink{\bold{\underline{{ ℘ɧεŋσɱεŋศɭ}}}}{\bold☘}

\huge\tt\red{\bold{\underline{\underline{❥Question᎓}}}}x^3 + 2x^2 - x - 2 - Factorise completely

\huge\tt{\boxed{\overbrace{\underbrace{\blue{Answer</p><p> }}}}}

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⟹\bold{ {x}^{3}  + 2 {x}^{2}  - x - 2 = 0}

⟹ \bold{{x}^{2} (x + 2) - 1(x + 2) = 0}

⟹\bold{( {x}^{2}  - 1)(x + 2) = 0}

⟹\bold{ {x}^{2}  -  {1}^{2}  = (x + 1)(x - 1)}

\bold{(x + 1)(x - 1)(x + 2) = 0}

\bold{\boxed{\red{x = 1\:; - 1  \: and \:  - 2}}}

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