exam Maths Puzzle Numerical Ability

Please expain how to do this

Let f(x) =x3 -8x2 + 17x -9. Use the factor theorem to find other solutions to f(x)- f(1) = 0, beside x =1.

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exam Other Question

My study question asks....Solve the following systems of equation by any method.

All I am asking for is the name of a method so I can look up the order or way to solve it.

3x-2y=12

and

2x+y=8

Thanks! Factor completlety 16x^2-2x-3