Question 626494
g(x)=2x^4-9x^3+8x^2+9x-10
Use rational roots theorem with synthetic division to solve:

...0...|.....2......-9.......8.......9......-10
...1...|.....2......-7......1.......10........0 (1 is a zero)
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...0...|.....2......-7......1.......10............
...2...|.....2......-3.....-5........0 (2 is a zero)
g(x)=(x-1)(x-2)(2x^2-3x-5)
=(x-1)(x-2)(2x-5)(x+1)
zeros are: -1, 1, 2 & 5/2