NCERT Solutions for Class 10 Maths Chapter 2
Important NCERT Questions
Polynomials
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 2.2
Page No:33
Questions No:1 Part:2
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. 4s² – 4s + 1.
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4s² – 4s +1
= 4s² – 2s – 2s + 1
= 2s(2s – 1) – 1(2s – 1)
= (2s – 1)(2s – 1)
The value of 4s² – 4s + 1 is zero if 2s – 1 = 0 ⇒ s = 1/2
Therefore, the zeroes of 4s² – 4s + 1 are 1/2 and 1/2.
Now, Sum of zeroes = 1/2 + 1/2 = 1 = -(4)/4 = -(Cofficient of s)/(Cofficient of s²)
Product of zeroes = 1/2 x 1/2 = 1/4 = 1/4 = (Constant term)/Coefficient of s²
Explanation 🤠