Answer: (-5/2,0) is the other x intercept.
Explanation:
Make use of given fact that (x - 1/2) is a factor of the polynomial.
Divide 4x^2 + 8x - 5 by (x - 1/2)
Partial quotient 4x.
Subtract 4x × (x - 1/2) = 4x^2 - 2x from dividend giving 10x - 5 remainder.
Second partial quotient is 10,
10 × (x - 1/2) = 10x - 5, remainder zero
(x - 1/2)(4x + 10) = 4x^2 + 8x - 5
Graph of the parabola crosses the x axis where 4x+10=0, x = -5/2.