Example 6 - Divide the polynomial x + 3x2 – 1 by x + 1 - Examples

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Question 1 Divide the polynomial x + 3x2 – 1 by x + 1. By long division: We divide 3x2 + x – 1 by x + 1 We follow these steps 1. We multiply by 3x 2. The remainder will be the difference of 3x2 + x, and 3x2 + 3x i.e. -2x - 1 3. So, we multiply by -2 4. Then, the remainder will be difference of -2x - 1 and -2x - 2 5. Remainder is +1

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.