Question

If one of the zeroes of x³ - 9x² + 27x is 3, find the other zeroes.​

Answer 1

Answer:

x

4

−3x

3

−x

2

+9x−6=0

(x+

3

)(x−

3

)=x

3

−3

Refer above image for factorization

⟹(x

2

−3)(x

2

−3x+2)=0

⟹(x

2

−3)(x

2

−2x−x+2)=0

⟹x=2,1,

3

,−

3