Question

A partial solution set is given for the equation. Find the complete solution set.
2x3 − 5x2 − 14x + 8 = 0; {1/2}

Answer 1

do you know synetheic division?
1/2| 2 -5 -14 8
| 1 -2 -8
2 -4 -16 |0
2x^2-4x-16=0
try to solve this for x

Answer 2

divide both sides by 2
x^2-2x-8=0
(x-4)(x+2)=0
x=4
x=-2