exam Maths Puzzle Numerical Ability

Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to f(x)-f(1)=0, besides x=1.

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exam Other Question

(2x^3+3x^2-4)+(5x^2+6x-7) Three people check into a hotel. They find out that if one more person checked in with them, the check in price will be reduced by $50. How much is the Check in price?