Q. 1 B3.8( 10 Votes )

Find the zeroes o

Answer :

To find the zeros of the polynomial let us first solve the polynomial by equating it to zero. Factorizing the given polynomial

4x2 – 4x + 1 = 0


To factorize the polynomial we have,


Sum of the value should be equal = -4


Product should be equal to = 4 × 1


= 4


So two numbers are -2, -2


4x2 – 2x – 2x + 1 = 0


2x(2x – 1) – 1(2x – 1) = 0


(2x-1)(2x-1) = 0


2x-1 = 0 or 2x-1 = 0


Both the parts are same.


Solving them,


2x-1 = 0


2x = 1


x = 1/2


When we compare the above quadratic equation with the generalized one we get,


ax2 + bx + c = 0


a = 4, b = -4, c = 1


Sum of zeroes = -b / a


= - (-4) / 4


= 1


Product of zeroes = c / a


= 1 / 4


= 1/4


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