SOLUTION: Find the roots of the polynomial equation 2x^3 -4x^2 +2x =0

SOLUTION: Find the roots of the polynomial equation 2x^3 -4x^2 +2x =0

Algebra.Com

Question 1090210: Find the roots of the polynomial equation 2x^3 -4x^2 +2x =0
Answer by natolino_2017(77) (Show Source): You can put this solution on YOUR website!
2x^3-4x^2+2x = 2x(x^2-2x+1) = 2x(x-1)^2
So the roots are: 2x(x-1)^2 =0
2x=0 or (x-1)^2 = 0
x=0 or x=1 (with multiplicity =2)
Roots={0,1,1}
@natolino_
RELATED QUESTIONS
find the roots of the polynomial equation... (answered by stanbon)

Find the irrational roots of the equation... (answered by stanbon,fractalier)

Identify the roots of the equation 2x^3-4x^2+2x=0... (answered by josgarithmetic)

Identify the roots of the equation below. 1). 2x^3-4x^2+2x=0... (answered by MathLover1)

you are given a polynomial equation and one or more of its roots. Find the remaining... (answered by stanbon)

find the roots of the polynomial equation:x^3-2x^2+10x+136=0 (answered by stanbon)

The roots of the polynomial equation 2x^3 - 8x^2 + 3x + 5 = 0 are alpha, beta and gamma. (answered by ikleyn)

Three roots of the polynomial equation x^4 - 4x^3 - 2x^2 + 12x + 9 = 0 are 3, -1 and -1.... (answered by Fombitz)

What are the roots of the polynomial ? 3x^4 + 6x^3 -2x^2 +9x -36 =... (answered by Ryan O)