Question

AN
EXERCISE - 3.3
Find the zeroes of the following quadratic polynomials and verify the
the zeroes and the coefficients.
(ii) 4s2 - 4s + 1


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Answer 1

sum of zeroes =-b/a

products of zeroes =c/a

formulas for finding quadratic polynomial

= k{x^2-x( alpha + beeta) + alpha. beeta }

Answer 2

4s2 - 4s + 1

4s2 - ( 2+2 )s + 1

(4s2 - 2s ) - (2s - 1 )

(2s -1 ) ( 2s -1 )

zero are

s= 1÷2 or s = 1÷2

verification

alpha + beta = - b÷ a

1÷2 +1÷2 = -(-4)÷4

2÷2 = 4÷4

1 = 1

LHS =RHS