x^2(x-1)<= 0
Let's solve in ℝ: x2·(x -1) ≤ 0
We study the sign of each factor of the product
⇥The expression x2 is an even power: it is zero at x = 0 and positive otherwise
⇥The expression x -1 is zero at x = 1, it is negative before and positive after
Let's draw up the sign table:
x-∞ 0 1 +∞
x2+0++
x -1--0+
x2·(x -1)-0-0+
▶Solution obtained: x ≤ 1