Question 387519
Answer should be:

(x-2) with a remainder of -34

remainder of -34 is equivalent to -34/(x+8)

answer is therefore x-2 - 34/(x+8)

the process works like this.

divide x^2 by x to get x because x*x = x^2

multiply (x+8) by x to get x^2 + 8x

subtract (x^2 + 8x) from (x^2 + 6x) to get -2x

bring down the -50 to get (-2x - 50)

divide -2x by x to get -2

multiply (x+8) by -2 to get (-2x - 16)

subtract (-2x -16) from (-2x - 50) to get -34

that's your remainder.

your answer is (x-2) with a remainder of -34

when you multiply (x-2) by (x+8) you will then need to add the remainder to get back to the original equation.

(x-2) * (x+8) = x^2 + 6x - 16

add -34 to that and you get x^2 + 6x - 50 which was your original equation.

on paper, the division will be as shown below:

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