Question
what would be the remainder for the polynomial division (3x^3-x^2-7x+6) divide (x+2)
Answers
GPT 3.5
To find the remainder for the polynomial division of (3x^3 - x^2 - 7x + 6) divided by (x + 2), we can use the synthetic division or long division method.
Let's use the long division method:
___________________
(x + 2) | 3x^3 - x^2 - 7x + 6
- (3x^3 + 6x^2)
______________
-7x^2 - 7x
- (-7x^2 - 14x)
_________________
7x + 6
- (7x + 14)
_______________
-8
The remainder is -8.
Let's use the long division method:
___________________
(x + 2) | 3x^3 - x^2 - 7x + 6
- (3x^3 + 6x^2)
______________
-7x^2 - 7x
- (-7x^2 - 14x)
_________________
7x + 6
- (7x + 14)
_______________
-8
The remainder is -8.