The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0\\[1 em]x_2 &= \frac{ 1 }{ 4 } \end{aligned} $$Step 1:
Write polynomial in descending order
$$ \begin{aligned} x^2-4x^3 & = 0\\[1 em] -4x^3+x^2 & = 0 \end{aligned} $$Step 2:
Factor out $ \color{blue}{ -x^2 }$ from $ -4x^3+x^2 $ and solve two separate equations:
$$ \begin{aligned} -4x^3+x^2 & = 0\\[1 em] \color{blue}{ -x^2 }\cdot ( 4x-1 ) & = 0 \\[1 em] \color{blue}{ -x^2 = 0} ~~ \text{or} ~~ 4x-1 & = 0 \end{aligned} $$One solution is $ \color{blue}{ x = 0 } $. Use second equation to find the remaining roots.
Step 3:
To find the last zero, solve equation $ 4x-1 = 0 $
$$ \begin{aligned} 4x-1 & = 0 \\[1 em] 4 \cdot x & = 1 \\[1 em] x & = \frac{ 1 }{ 4 } \end{aligned} $$