SOLUTION: Use synthetic division to decide which of the following are zeros of the function. {{{ g(x)=2x^4-9x^3+8x^2+9x-10 }}}

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Use synthetic division to decide which of the following are zeros of the function. {{{ g(x)=2x^4-9x^3+8x^2+9x-10 }}}      Log On


   

Question 626494: Use synthetic division to decide which of the following are zeros of the function.
+g%28x%29=2x%5E4-9x%5E3%2B8x%5E2%2B9x-10+
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
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)
======================
...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