SOLUTION: Divide x^4 + x^2 - 80 ----------- -- x + 3 I have four answers but I can not understand this problem of how to come up with one of these answers: a) x^3 -

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Question 70532: Divide x^4 + x^2 - 80
--------------
x + 3
I have four answers but I can not understand this problem of how to come up with one of these answers:
a) x^3 - 3x^2 - 10x + 30 + -10
-----
x + 3
b) x^3 - 3x^2 + 10x + 30 + 10
------
x + 3
c) x^3 - 3x^2 + 10x - 30 + 10
-----
x + 3
d) x^3 - 3x^2 - 10x - 30 + -10
-----
x + 3
Thank you for your help!

Found 2 solutions by stanbon, checkley75:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Divide x^4 + x^2 - 80
--------------
x + 3
===========================
Using synthetic division you get:
-3)....1....0....1....0....-80
.........1...-3...10...-30..|.10
This means:
Quotient: x^3-x^2+10x-30
Remainder:10
Answer: c
Cheers,
Stan H.

Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!
////X^3-3X^2-10X-30
////----------------
X+3)X^4+X^2-80
////X^4+3X^3
////----------------
///////-3X^3+X^2
///////-3X^3-9X^2
///////------------
////////////10X^2
///////////-10X^2-30X
///////////-----------------------
/////////////////30X-80
////////////////-30X-90
////////////////---------------------
/////////////////////10/(X+3)
ANSWER IS D)

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