Math, asked by taranjeet9b38, 11 months ago

 Factorise:  x3 -13x2 +32x -20  plz give me fast​

Answers

Answered by anindyaadhikari13
38

\star\:\:\:\bf\large\underline\blue{Question:-}

  • Factorise the given cubic polynomial.

\star\:\:\:\bf\large\underline\blue{Solution:-}

 {x}^{3}  - 13 {x}^{2}  + 32x - 20

 =  {x}^{3}  -  {x}^{2}  - 12 {x}^{2}  + 12x + 20x - 20

 =  {x}^{2} (x - 1) - 12x(x - 1) + 20(x - 1)

 = (x - 1)( {x}^{2}  - 12x + 20)

 = (x - 1)( {x}^{2}  - 10x - 2x  + 20)

 = (x - 1)(x(x  - 10) - 2(x - 10))

 = (x - 1)(x - 2)(x - 10)

\star\:\:\:\bf\large\underline\blue{Answer:-}

  •  (x - 1)(x - 2)(x - 10)
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