Let us first divide 7 by 3,

7/3

Dividing 7 by 6.jpg

 

Here

7 = 3 × 2 + 1

i.e.  Dividend = Divisor × Quotient + Remainder

We can do the same when dividing two polynomials


In Example 6 ,

We divided  3x 2 + x − 1 by 1 + x

Our  division was

Division algorithm in polynomials.jpg

 

Here

Dividend = 3x 2 + x – 1

Divisor = x + 1

Quotient = 3x – 2

And Remainder = 1

 

     Dividend = Divisor × Quotient + Remainder

3x 2 + x – 1 = (x + 1) (3x – 2) + 1

3x 2 + x – 1 = x (3x – 2) + 1 (3x – 2) + 1

3x 2 + x – 1 = 3x 2 – 2x + 3x – 2 + 1

3x 2 + x – 1 = 3x 2 + x – 1

  1. Chapter 2 Class 9 Polynomials
  2. Concept wise

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.