Ex 2.2, 2 (iii) - 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. (iii) 0, √5 Let the polynomial be p(x) = ax2 + bx + c, Sum of zeroes = 𝟎 − 𝑏/𝑎 = 0 Assuming a = 1 − 𝑏/1 = 0 b = 0 Product of zeroes = √𝟐 𝑐/𝑎 = √2 Assuming a = 1 𝑐/1 = √2 c = √𝟐 Now a = 1, b = 0 and c = √5 Hence, the required quadratic polynomial = ax2 + bx + c = x2 + 0x + √5 = x2 + √𝟓 Another quadratic polynomial can be 2(x2 + √𝟓)