Divide 9x^4-3x^2-18x+9 by 3x-6

Question

The answer should be ___x^3+___x^2+___x+___+ 105/3x-6

Answer 1

Hi Rachel

 

9x^4-3x^2-18x+9 by 3x-6

 

(9x⁴ - 3x² - 18x + 9)/(3x - 6)

 

 

Divide top and bottom by 3.

 

(3x⁴ - x² - 6x + 3)/(x - 2)

 

x - 2 | 3x⁴ + 0x³ - x² - 6x + 3   my nomenclature for long division

 

I get 3x³ + 6x² + 11x + 16 R 35

 

or

 

3x³ + 6x² + 11x + 16 + 35/(x - 2)

Answer 2

I get this result: 3x³ + 6x² + 11x + 16 + 105/(3x-6)