Is (x + 7) a factor of f(x) = x3 − 3x2 + 2x − 8? use either the remainder theorem or the factor theorem to explain your reasoning
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Not a factor

Step-by-step explanation:

According to the factor theorem, if f(a) = 0 then (x-a) would be a factor of the polynomial f(x)

So, for the given case, if f(-7) = 0, then f(7) would be a factor of the given polynomial f(x)

To find f(-7) we replace every occurrence of x with -7 in the above equation.

Since f(-7) is not equal to zero, (x+7) is not a factor of the given polynomial.

step-by-step explanation: