Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? show steps on how to solve. use either the remainder theorem or the factor theorem to explain your reasoning.

(x+5) is not a factor of f since f(-5) is not zero.

Step-by-step explanation:

You can find the remainder of f divided by

(x-(-5)), by plugging in -5 into f. We can do this by remainder theorem.

If f(-5 ) is zero then (x-(-5)) is a factor of f.. If it is not zero, then (x-(-5)) is not a factor of f. This is by factor theorem.

Let's try it.

x^3 − 4x^2 + 3x + 7 with x=-5:

(-5)^3 − 4(-5)^2 + 3(-5) + 7

-125-4(25)+-15+7

-125-100-8

-125-108

-233

Since this is not zero then (x-(-5)) is not a factor of f.

Note: (x-(-5)) is the same as saying (x+5).

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step-by-step explanation: