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harlon852
26.07.2019 •
Mathematics
Is (x + 7) a factor of f(x) = x^3 − 3x^2 + 2^x − 8? use either the remainder theorem or the factor theorem to explain your reasoning.
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Ответ:
Not a factor
Step-by-step explanation:
We can use Factor Theorem to answer this question. According to this theorem, in order to find if (x - a) is a factor of a polynomial f(x), calculate f(a). If f(a) comes out to be equal to zero, this will mean that (x-a) is factor of f(x).
Here, the expression we have is (x + 7), so we need to find f(-7) in order to check if (x+7) is a factor of f(x) or not
Substituting x = -7, we get:
Since f(-7) ≠ 0, (x + 7) is not a factor of the polynomial f(x)
Ответ:
C) 3x^2 + 20x + 12 = 0
Step-by-step explanation: Because it is the right answer