SOLUTION: I am not sure how to divide this polynomial. x^5+2x^4-12x-39/ x-2 I tried synthetic division , but got lost?

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Question 363567: I am not sure how to divide this polynomial.
x^5+2x^4-12x-39/ x-2
I tried synthetic division , but got lost?
Answer by CharlesG2(834) (Show Source):
You can put this solution on YOUR website!
"I am not sure how to divide this polynomial.
x^5+2x^4-12x-39/ x-2
I tried synthetic division , but got lost?"

..........x^4 + 4x^3 + 8x^2 + 16x + 20
x - 2 --> x^5 + 2x^4 + 0x^3 + 0x^2 - 12x - 39
..........x^5 - 2x^4
................4x^4 + 0x^3
................4x^4 - 8x^3
.......................8x^3 + 0x^2
.......................8x^3 - 16x^2
..............................16x^2 - 12x
..............................16x^2 - 32x
......................................20x - 39
......................................20x - 40
.............................................1

check:
(x - 2)(x^4 + 4x^3 + 8x^2 + 16x + 20 + 1/(x - 2))
x^4(x - 2) + 4x^3(x - 2) + 8x^2(x - 2) + 16x(x - 2) + 20(x - 2) + 1
x^5 - 2x^4 + 4x^4 - 8x^3 + 8x^3 - 16x^2 + 16x^2 - 32x + 20x - 40 + 1
x^5 + 2x^4 - 12x - 39