Divide using synthetic division problems

(2x^3 - 7x^2 - x - 12) / (x - 4)

(x^4 - 5x^3 + 4x - 17) / (x - 5)

(5x^4 - 2x^3 - 3x^2 + 5x + 1) / (x - 1)

(x^3 - 2) / (x +1)

solve for best answer

Oi... These problems again. Ok I'll show you the first two cuz they're long as hell.

x-4 divides 2x^3 - 7x^2 - x - 12
First you check your x variables. How many times can x go into 2x^3?
2x^2 times. That's the first part of the solution. We perform a similar process to long division. But first, multiply the - 4 by that value.
-8x^ 2.
Now we do our subtraction.
2x^3 - 7x^2 - x - 12
2x^3 - 8x^2
x^2 - x - 12
Now we do it again, keeping our first value. x goes into x^2 x times. So now our solution so far is
2x^2 + x
Multiply x * -4 and subtract again.
X^2 - x - 12
X^2 -4x
3x - 12
Once more to finish things off! X goes into 3x 3 times.
2x^2 + x + 3
Multiply -4 times 3 and subtract the last equation
3x-12
3x -12
0
Boom! We have our answer: 2x^2 + x + 3.

2. I'm not going into the same level of detail here, but you can still follow the process.

X-5 divides x^4 - 5x^3 + 4x - 17
X^3
X^4 - 5x^3 + 4x - 17
X^4 - 5x^3
0 + 4x - 17
X goes into 0 0 times, so we move on. X goes into 4x 4 times.
X^3 + 4
4x-17
4x-20
3
So our final answer is x^3 + 4 r 3 or x^3 + 7.

Good luck with the rest

_________________________
+4 | 2 -7 1 12
2 -20 -76
____________________________
2 -5 -19 -64

2x^2 - 5x -19

-64
____
x - 4