Math, asked by sahilkumarsrivastava, 7 months ago

Factorise : 9x^3-6x^2+12x

Answers

Answered by nitashachadha84
9

Answer:

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Answered by gurudeepanraj
1

Answer:

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Step-by-step explanation:

  1. 9x3-6x2-12x  
  2. Final result :
  3.  3x • (3x2 - 2x - 4)
  4. Reformatting the input :
  5. Changes made to your input should not affect the solution:
  6. (1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).
  7. Step by step solution :
  8. Step  1  :
  9. Equation at the end of step  1  :
  10.  ((9 • (x3)) -  (2•3x2)) -  12x
  11. Step  2  :
  12. Equation at the end of step  2  :
  13.  (32x3 -  (2•3x2)) -  12x
  14. Step  3  :
  15. Step  4  :
  16. Pulling out like terms :
  17. 4.1     Pull out like factors :
  18.   9x3 - 6x2 - 12x  =   3x • (3x2 - 2x - 4)  
  19. Trying to factor by splitting the middle term
  20. 4.2     Factoring  3x2 - 2x - 4  
  21. The first term is,  3x2  its coefficient is  3 .
  22. The middle term is,  -2x  its coefficient is  -2 .
  23. The last term, "the constant", is  -4  
  24. Step-1 : Multiply the coefficient of the first term by the constant   3 • -4 = -12  
  25. Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   -2 .
  26.      -12    +    1    =    -11  
  27.      -6    +    2    =    -4  
  28.      -4    +    3    =    -1  
  29.      -3    +    4    =    1  
  30.      -2    +    6    =    4  
  31.      -1    +    12    =    11  
  32. Observation : No two such factors can be found !!
  33. Conclusion : Trinomial can not be factored
  34. Final result :
  35.  3x • (3x2 - 2x - 4)
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