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Example 4 - Find a quadratic polynomial, sum and product - Finding polynomial using relationship

Example 4 - Chapter 2 Class 10 Polynomials - Part 2

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Example 4 Find a quadratic polynomial, the sum and product of whose zeroes are – 3 and 2, respectively. Let the polynomial be p(x) = ax2 + bx + c, Sum of zeroes = -3 -b/a = -3 Assuming a = 1 -b/1 = -3 b = 3 Product of zeroes = 2 c/a = 2 Assuming a = 1 c/1 = 2 c = 2 Now a = 1,b = 3 and c = 2 Hence, the required quadratic polynomial = ax2 + bx + c = 1x2 + 3x + 2 = x2 + 3x + 2 Another quadratic polynomial can be 2(x2 + 3x + 2)

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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.