Only two out of three are known

Algebra Level 2

$Q(x,y)= x^3 -3x^2y+p_1xy^2 +p_2 y^3$

If $x-y$ and $y-2x$ are two factors of the expression $Q(x,y)$ , then find the values of $p_1$ and $p_2$ .

p_1=\frac{11}{4},p_2=\frac {-3}{ 4}

p_1=\frac{-11}{4},p_2=\frac 3 4

p_1=\frac{11}{4},p_2=\frac 3 4

p_1=\frac{-11}{4},p_2=\frac{- 3}{ 4}