SOLUTION: Divide using long or synthetic division. 2x^4-3x^2+7x-8 / x^2+x-3

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Question 1134155: Divide using long or synthetic division. 2x^4-3x^2+7x-8 / x^2+x-3
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+x-3/2x^4+0 x^3-3x^2+7x-8
---------2x^2
------- 2x^4+2x^3-6x^2, change signs and add
-------------- -2x^3+3x^2+7x-8
--------------- -2x
--------------- -2x^3-2x^2+6x
-------------------- 5x^2+x-8
----------------------5
---------------------- 5x^2+5x-15
-------------------------- -4x+7 remainder
quotient is (2x^2+2x+5)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

..........................(2x%5E2-2x%2B5
x%5E2%2Bx-3 | +2x%5E4%2B0%2Ax%5E3-3x%5E2%2B7x-8+
.............................2x%5E4%2B2x%5E3-6x%5E2
.....................................-2x%5E3%2B3x%5E2%2B7x
......................................-2x%5E3-2x%5E2%2B6x
................................................5x%5E2%2Bx-8
................................................5x%5E2%2B5x-15
...........................................................-4x%2B7=> reminder
+2x%5E4-3x%5E2%2B7x-8+=%282x%5E2-2x%2B5%29%28x%5E2%2Bx-3%29%2B%28-4x%2B7%29