Question

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

Answer 1

Answer:(C) 3/2, -1/2

We have,
f(x) = 4x² - 4x - 3
Now, put f(x) = 0
4x² - 4x - 3 = 0
4x² - 6x + 2x - 3 = 0
2x(2x - 3) + 1(2x - 3) = 0
(2x - 3) (2x + 1) = 0
2x - 3 = 0 or 2x + 1 = 0
2x = 3 or 2x = -1
x = 3/2 or x = -1/2 
So, the zeros of given polynomial are 3/2 and -1/2.