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.Com
Question 626494: Use synthetic division to decide which of the following are zeros of the function.

Answer by lwsshak3(11628)   (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

RELATED QUESTIONS

Please help me with this type of problem. Here is the explanation: Use synthetic... (answered by stanbon)
Use synthetic division to decide which of the following are zeros of the function. {{{ (answered by jim_thompson5910)
1. Use synthetic division to divide p(x) = x^4 - 10x^2 - 2x + 4 by x + 3 2. Let f(x) = (answered by josgarithmetic)
4.6 The following function is given. f(x)=x^3 -5x^2 -9x+45 a. List all rational... (answered by Boreal)
Use synthetic division to evaluate g(4) and g(5). g(x)= 9x^4 - 8x^2 - 9x - 5 (answered by Alan3354)
USe synthetic division to find the polynomial which is not a factor of: x^3+2x^2-9x-18... (answered by stanbon)
I need help with this: use synthetic division to find the function value.... (answered by scianci)
Please help me solve this question: 1. Use the Rational Theorem and synthetic division (answered by lwsshak3)
f(x)= X^2 + 6x +5 use synthetic division to deside whitch of the following are zeros of... (answered by stanbon)