Ex 2.2, 2 (iv) - Chapter 2 Class 10 Polynomials

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Ex 2.2, 2 Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. (iv)1, 1 Let the polynomial be p(x) = ax2 + bx + c, Sum of zeroes = 1 − 𝑏/𝑎 = 1 Assuming a = 1 − 𝑏/1 = 1 −b = 1 b = −1 Product of zeroes = 1 𝑐/𝑎 = 1 Assuming a = 1 𝑐/1 = 1 c = 1 Now a = 1, b = – 1 and c = 1 Hence, the required quadratic polynomial = ax2 + bx + c = 1x2 – 1x + 1 = x2 – x + 1 Another quadratic polynomial can be 2(x2 – x + 1)