Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation
), and factor f(x) into linear factors.f(x) = x4 + 6x3 + 7x2 - 6x - 8
A. -2, -1, 1, 4; f(x) = (x + 2)(x + 1)(x - 1)(x - 4)
B. -4, -2, 1, multiplicity 2; f(x) = (x + 4)(x + 2)(x - 1)2
C. -1, 1, 2, 4; f(x) = (x + 1)(x - 1)(x - 2)(x - 4)
D. -4, -2, -1, 1; f(x) = (x + 4)(x + 2)(x + 1)(x - 1)
Answer: D
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