Answer:
Step-by-step explanation:
Use the quadratic formula first; find the roots, and then write the factors based upon the roots. Here, a = 4, b = -8 and c = -5. Thus, the discriminant b^2 - 4ac is (-8)^2 - 4(4)(-5), or 64 + 80, or 144.
Thus, we have:
-(-8) ± √144 8 ± 12
x = --------------------- = -------------- = 5/2 and x = -1/2
2(4) 8
If x = 5/2 is a root, then (2x - 5) is a factor.
If x = -1/2 is a root, then (2x + 1) is the other factor.
or
