Question

The zeros of the polynomial 4x²-4x +1 are
(A) 1/2, 1/2
(B) -1/2, 3/2
(C) -1/2, -1/2
(D) 3/2, 1/2

Answer 1

Answer:(A) 1/2, 1/2

We have,
f(x) = 4x² - 4x + 1
Now, put f(x) = 0
4x² - 4x + 1 = 0
4x² - 2x - 2x + 1 = 0
2x(2x - 1) - 1(2x - 1) = 0
(2x - 1) (2x - 1) = 0
2x - 1 = 0 or 2x - 1 = 0
2x = 1 or 2x = 1
x = 1/2 or x = 1/2 
So, the zeros of given polynomial are 1/2 and 1/2.