Posted by Ryan on .
x^44x^3+3x^2+8x16
Find the zeroes given one is x^2x4.
I don't know what to do now. i tried synthetic division. pls help : D

Math 
Reiny,
Synthetic division is usually only done with linear divisors, for quadratic divisors use long algebraic division. That gave me ....
(x^44x^3+3x^2+8x16)/(x^2  x  4)
= x^2  3x + 4
so solving x^2  3x + 4 = 0
x = (3 ± √7)/2
= (3 ± i√7)/2