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Hi
Factor the polynomial f(x). then solve the equation f(x)=0
f(x)=x^3-11x^2+23x+35
factored form is f(x)= (x+1)( x^2 - 12x + 35 )= (x+1)(x-5)(x-7)
(x+1)(x-5)(x-7)= 0
(x+1)=0 x = -1
(x-5)=0 x = 5
(x-7)= 0 x = 7
the solution to f(x)=0 is x= -1,5,7