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emmasim [6.3K]
3 years ago
10

Which of the following represents the zeros of f(x) = x3 − 3x2 − 2x + 6?

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0

Answer:

Answer D

Step-by-step explanation:

x^2 - 2 can be rewritten as ( x-sqrt(2)(x+sqrt(2) ).  Thus, in factored form, we have  f(x) = (x-3)(x-sqrt(2)(x+sqrt(2).  Set this equal to zero and solve for the three roots:

x-3=0 yields x = 3.

x-sqrt(2) = 0 yields x = sqrt(2), and

x+sqrt(2) = 0 yields x = -sqrt(2).

This matches Answer D.

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