8. Use the Remainder theorem to determine if (x + 2) is a factor of the function f(x) = x3 – x2 - 10x – 8
a. (x + 2) is a factor because the remainder is -24
b. (x + 2) is a factor because the remainder is 0
c. (x + 2) is not a factor because the remainder is -24
d. (x + 2) is not a factor because the remainder is 0
2

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!