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use the long division method to find the result when 6x^3+8x^2+5x+1 is divided by 3x+1​

Sagot :

Answer:

2x^2+2x+1

Step-by-step explanation:

3x + 1 | 6x^3 + 8x^2 + 5x + 1

_____ 6x^3 + 2x^2______ <-- 2x^2

                       6x^2 + 5x + 1

                      6x^2 + 2x     <-- 2x

                                   3x + 1

                                   3x + 1 <-- 1

                                          0 | 2x^2+2x+1

Therefore, 6x^3+8x^2+5x+1 when divided by 3x+1​ is 2x^2+2x+1