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Quadratic in Form Polynomials

Question 1 • GA-Advanced Algebra: Concepts and Connections CR

Given f(x) = x3 – 2x2 – x + 2, the roots of f(x) are .

Answer
A
1, –2, –1, 2
B
–1, 1, 2
C
–1, 1, –2
D
–1, 1, –2, 0
E
–1, 1, 2, 0

Explanation

Factor by grouping: x³ − 2x² − x + 2 = x²(x − 2) − 1(x − 2) = (x² − 1)(x − 2). Since x² − 1 = (x − 1)(x + 1), the roots are 1, −1, and 2. This matches choice B.

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