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Question:

Find the roots of this polynomial: \(x^2-9x+8=0\)

A \(x = 1\) or \(8\)
explanation

Questions that say, "solve the given polynomial" and "find the roots of the polynomial" mean the same thing. The first step would be to factor out the polynomial: \(x^2-9x+8=(x-1)(x-8)\) Then, equate each factor to zero. \((x-1) = 0\)
\(x=1\) and \(x-8 = 0\)
\(x=8\) The roots of the given polynomial are \(x=1\) or \(x=8\)

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