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**1. Homework Statement**

If the polynomial P(x)=x^4+ax^3+bx^2-8x+1 is a perfect square then find (a+b)

**3. The Attempt at a Solution**

The first term is a perfect square and so is the last term. that means that th middle terms should have been =2x^2.

But it is not so, then how can this be a perfect square?