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

find all zeros of g=x^3+3x^2-3x-9Solutiong=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=+-

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