NCERT / CBSE
QUESTION NO 1 (ii) CHAPTER 2.2
quadratic polynomials
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Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
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4s2–2s–2s+1
= 2s(2s–1)–1(2s-1)
= (2s–1)(2s–1)
Therefore, zeroes of polynomial equation 4s2–4s+1 are (1/2, 1/2)
Sum of zeroes = (½)+(1/2) = 1 = -4/4 = -(Coefficient of s)/(Coefficient of s2)
Product of zeros = (1/2)×(1/2) = 1/4 = (Constant term)/(Coefficient of s2 )