Question

find the zeroes of the quadratic polynomial 4x ^2-4x-3 and verify the relationship between the zeroes and coefficients

Answer 1

4x^2 -4x-3 = 0
4x^2 -6x+2x-3 = 0
2x (2x-3) + 1 (2x-3)= 0
(2x-3) (2x+1) = 0
x = 3/2 or -1/2

Sum of zeroes = 3/2 -1/2
= 2/2
= 1
= -(-4)/4 = -b/a

Product of zeroes = 3/2 × -1/2
= -3/4
= c/a

Hope it helps.