Question

What are all of the zeros in this equation?

Answer 1

0, 1 and 1

Explanation:

Given the expressions;

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

x(x^2-2x+1) = 0

x = 0 and x^2-2x+1 = 0

Factorize x^2-2x+1 = 0

x^2-x-x+1 = 0

x(x-1)-1(x-1) = 0

(x-1)(x-1)= 0

x = 1 twice

hence the zeros of the equation are 0, 1 and 1