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Let $p$, $q$ and $r$ be the zeros of the polynomial ${ x }^{ 3 }+5{ x }^{ 2 }-4x+3$.

Find the value of ${ p }^{ 2 }q+{ p }^{ 2 }r+{ q }^{ 2 }p+r^{ 2 }p+{ q }^{ 2 }r+r^{ 2 }q$.

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