find all zeros of gx33x23x9Solutiongx33x23x9 gx2x3 3x3 g x23
find all zeros of g=x^3+3x^2-3x-9
Solution
g=x3+3x2-3x-9
g=x2(x+3) -3(x+3)
g= (x2-3)(x+3)
To find the zeroes we have to plug g=0
(x2-3)(x+3)=0
x2-3=0 , x+3=0
x=+-sqrt3 , x=-3
Therefore the zeroes are -3,sqrt3,-sqrt3
