NCERT CHAPTER 2.2
QUESTION NO 2
Deepak BoraNewbie
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
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Solutions:
(i) x2–2x –8
⇒ x2– 4x+2x–8 = x(x–4)+2(x–4) = (x-4)(x+2)
Therefore, zeroes of polynomial equation x2–2x–8 are (4, -2)
Sum of zeroes = 4–2 = 2 = -(-2)/1 = -(Coefficient of x)/(Coefficient of x2)
Product of zeroes = 4×(-2) = -8 =-(8)/1 = (Constant term)/(Coefficient of x2)