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.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation: