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Example 6 - Divide 2x2 + 3x + 1 by x + 2 - Chapter 2 - Division algorithm

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Example 6 Divide 2x2 + 3x + 1 by x + 2 We follow these steps 1. Since it is 2x2, we multiply x by 2x 2. So, our remainder will be difference of 2x2 + 3x and 2x2 + 4x 3. Which comes out to be -x 4. So, we muliply by -1 5. The remainder will be the difference of -x + 1 and -x -2. 5. Which comes out to be +3 Thus, Quotient = 2x – 1 Remainder = 3

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.