SOLUTION: (-16x^3+4x^2+16x+3) divided by (4x+3) I am having the hardest time with this problem. I don't even know where to begin. Thank you, Denise

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (-16x^3+4x^2+16x+3) divided by (4x+3) I am having the hardest time with this problem. I don't even know where to begin. Thank you, Denise      Log On


   

Question 321723: (-16x^3+4x^2+16x+3) divided by (4x+3)
I am having the hardest time with this problem. I don't even know where to begin.
Thank you,
Denise
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28-16x%5E3%2B4x%5E2%2B16x%2B3%29%2F%284x%2B3%29
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First Term:-4x%5E2
-4x%5E2%284x%2B3%29=+-16x%5E3-12x%5E2
Subtract this product from the original polynomial to get the remainder,
%28-16x%5E3%2B4x%5E2%2B16x%2B3%29-%28-16x%5E3-12x%5E2%29=16x%5E2%2B16x%2B3
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Second Term:4x
4x%284x%2B3%29=16x%5E2%2B12x
Subtract this product from the first remainder to get the new remainder,
%2816x%5E2%2B16x%2B3%29-%2816x%5E2%2B12x%29=+4x%2B3
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Third Term: 1
%281%29%284x%2B3%29=+4x%2B3
Subtract this product from the second remainder to get the new remainder,
%284x%2B3%29-%284x%2B3%29=0
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Gather all of the terms,
%28-16x%5E3%2B4x%5E2%2B16x%2B3%29%2F%284x%2B3%29=-4x%5E2%2B4x-1