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.

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)

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.