Use polynomial long division to divide -20x^3 – 10x^2 – 16x – 8 by -5x^2 – 4
-5x² - 4 | - 20x³ – 10x² – 16x – 8 | 4x + 2
______| - 20x³ - 16x..................|________
-------------------------------- ; divide - 20x³ by -5x² to get 4x, then multiply 4x to -5x² - 4
..............-10x² + 16x - 16x ; subtract and bring 16 x from top
..............-10x² - 8 ;divide -10x² by -5x² to get 2 on the top, then multiply 2 to -5x² - 4
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......................8 - 8 = 0 ; subtract and bring -8 from top ; which gets cancelled
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so answer is 4x + 2 or 2*(2x +1)
Hope this helped
Vick
-5x^2-4 -20x^3-10x^2-16x-8 4x+2
-(-20x^3 -16x
===============================
-10x^2-8
-(-10x^2-8)
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0
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-5x² - 4 | - 20x³ – 10x² – 16x – 8 | 4x + 2
______| - 20x³ - 16x..................|________
-------------------------------- ; divide - 20x³ by -5x² to get 4x, then multiply 4x to -5x² - 4
..............-10x² + 16x - 16x ; subtract and bring 16 x from top
..............-10x² - 8 ;divide -10x² by -5x² to get 2 on the top, then multiply 2 to -5x² - 4
-----------------------------------
......................8 - 8 = 0 ; subtract and bring -8 from top ; which gets cancelled
----------------------------------------
so answer is 4x + 2 or 2*(2x +1)
Hope this helped
Vick
-5x^2-4 -20x^3-10x^2-16x-8 4x+2
-(-20x^3 -16x
===============================
-10x^2-8
-(-10x^2-8)
====
0