AravindG
  • AravindG
how to factorize 2sin^2x-3sin x-2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
assume sin x =t then it becomes 2t^2 - 3t-2=0 now you are familiar???
AravindG
  • AravindG
hmm ... wel u see i hav a problem in factorizing polynomials .can u hlp?
AravindG
  • AravindG
hw do u actually factorize polynomials like these??i mean whats the method or steps to be followed?

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anonymous
  • anonymous
2t^2 - 4t +t-2=0 2t(t-2)+1(t-2)=0 (2t+1)(t-2)=0
AravindG
  • AravindG
i feel some polynomials are non-intutive to be factorized by looking
TuringTest
  • TuringTest
it's called factoring by grouping
AravindG
  • AravindG
means wel how do u get intution that which term is to be grouped?
anonymous
  • anonymous
try to break the middle term in to two numbers such that sum is equal to the value of b and product is c in the quadratic eq. ax^2 + bx + c=0
TuringTest
  • TuringTest
...of course, there is no substitute for practice when it comes to developing an intuition on such things
AravindG
  • AravindG
wel what to do if it involves cubic expressions?
anonymous
  • anonymous
@aravindG do you get it??? yes @turingtest these can be developed effectively through practice.
TuringTest
  • TuringTest
that depends
AravindG
  • AravindG
like x^3-4x^2+4x
anonymous
  • anonymous
take x common
TuringTest
  • TuringTest
you can factor an x out, then factor the remaining quadratic
anonymous
  • anonymous
then the same way!!!
AravindG
  • AravindG
oh wow can u xplain this method of factorizing a quadratic
AravindG
  • AravindG
i mean sum in middle product in end
anonymous
  • anonymous
if you add -4 and +1 you get -3 (only such combination possible) while their product is also -4 matching the question..so you can proceed..
AravindG
  • AravindG
oh thx i had a prob in that part i hav one more qn pls help i will post separately

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