Find all of the zeros of the equations below. Show all of your work. 4) x3 – 5x2 + 6x = 0 5) x4 – 8x2 – 9 = 0 6) 5x3 – 5x = 0

Answer 1

x^3 - 5x^2 +6x = 0

x(x^2 - 5x + 6) = 0

x( x - 3 )(x - 2 ) = 0

x=0 or x=3 or x = 2

0= x^4 - 8x^2 - 9 =

(x^2)^2 - 8x^2 - 9 =

T^2 - 8T - 9 , T = x^2

= ( T - 9 )( T + 1 )

T-9 = 0 or T+1 = 0

T = 9 or T = -1

x^2 = 9 or x^2 = -1

x = +or-3 or x= +or- i

5x^3 - 5x = 0

5x( x^2 - 1) = 0

5x( x+1 )( x-1 ) = 0

x=0 , x =-1, x = 1