What is the sum of all real solutions of x^3 - 2x^2 - x + 2 = 0?

2 Factor by grouping: x^2(x-2) - (x-2) = (x-2)(x^2-1) = (x-2)(x-1)(x+1). Roots: 2, 1, -1. Sum = 2.

Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

x^3 - 2x^2 - x + 2 = 0

Explanation

x^2(x-2) - (x-2) = (x-2)(x^2-1) = (x-2)(x-1)(x+1)

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