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Quadratic in Form Polynomials

Question 2 • GA-Advanced Algebra: Concepts and Connections CR

The zeroes of f(x) = x3 + 3x2 + 2x are .

Answer
A
0, 1, 2
B
1, 2
C
–2, –1, 0
D
–1, –2
E
1, 3, 2

Explanation

Factor the polynomial: f(x) = x³ + 3x² + 2x = x(x² + 3x + 2) = x(x + 1)(x + 2). Setting each factor equal to zero gives x = 0, x = −1, and x = −2. Therefore, the zeroes are −2, −1, and 0, which is choice C.

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