Asked by Padonu segun
Find the quotient and remainder when F(x)=6x^3+4x^2-x+5 is divided by 3x^2+2x+1
Answers
Answered by
GPT 3.5
To find the quotient and remainder when F(x) is divided by 3x^2+2x+1, we can use synthetic division.
Using synthetic division:
| 2 1 1 | | 6 4 -1 5 |
-------------
6 16 31 | 5
The quotient is 6x + 16 and the remainder is 31.
Therefore, F(x) = (6x + 16)(3x^2 + 2x + 1) + 31.
Using synthetic division:
| 2 1 1 | | 6 4 -1 5 |
-------------
6 16 31 | 5
The quotient is 6x + 16 and the remainder is 31.
Therefore, F(x) = (6x + 16)(3x^2 + 2x + 1) + 31.