long division method of polynomials

Asked by  | 4th May, 2013, 01:08: PM

Expert Answer:

The method of long division of polynomials is very similar to the normal division of any 2 numbers. But in this case, you need to take care of the power of x also apart from its coefficient. 
 
Make sure you write both the numerator (divident) and denominator(divisor) with decreasing degree of x. 
Then, you will just need to 
  • Put in quotient the first term as the term which when multiplied by the divisor (denominator) would give you the first term of the numerator (divident)
  • Now multiply that term with the complete the divisor and write it under the divident and subtract to create a new polynomial. 
  • Now you can again the repeat the same process with the new polynomial (remainder) so obtaned and find a term which when multiplied by the divisor is equal to the term with the highest power of x in the new polynomial. 
  • Repeat this process untill the power of x in the remainder is less than that in the divisor.

Answered by  | 4th May, 2013, 09:58: PM

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