Find All Rational Zeros of the Polynomial $p ( x ) = 4 x ^ { 5 } + 24 x ^ { 4 } + 53 x ^ { 3 } + 53 x ^ { 2 } + 24 x + 4$

Essay

Find all rational zeros of the polynomial $p ( x ) = 4 x ^ { 5 } + 24 x ^ { 4 } + 53 x ^ { 3 } + 53 x ^ { 2 } + 24 x + 4$ .