SOLUTION: Hello, please help!!! Divide using synthetic division 4x^3 + 3x^2 - 4x + 3 / 2x + 3 ALSO if you can do this one too! 5s^4 - 3s^3 + 10s + 2 / 5s - 3

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Question 437623: Hello, please help!!!

Divide using synthetic division
4x^3 + 3x^2 - 4x + 3 / 2x + 3

ALSO if you can do this one too!
5s^4 - 3s^3 + 10s + 2 / 5s - 3

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Divide using synthetic division
(4x^3 + 3x^2 - 4x + 3) / (2x + 3)
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Divide numerator and denominator by 2 to get:
(2x^3+(3/2)x^2-2x+(3/2) / x+(3/2)
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Using synthetic division:
-3/2)....2....3/2....2....3/2
..........2....-3/2...17/4..|-39/8
Quotient: 2x^2-(3/2)x+(17/4)
Remainder: -39/8
=========================================

ALSO if you can do this one too!
5s^4 - 3s^3 + 10s + 2 / 5s - 3
Same procedure after dividing numerator and denominator by 5:
3/5)....1....-3/5....2....2/5
.........1.....0......2....|..8/5
-----
Quotient: x^2+2
Remainder: 8/5
============================

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