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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