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When x^(5)-5x^(4)+9x^(3)-6x^(2)-16x+13 i...

When `x^(5)-5x^(4)+9x^(3)-6x^(2)-16x+13` is divided by `x^(2)-3x+a`, then quotient and remainders are `x^(3)-2x^(2)+x+1` and -15x+11 respectively. Find the value of a.

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