Divide
(4x^3+10x^2+16x+24)÷(2x+3)
your answer should give the quotient and the remainder
To divide the polynomial (4x^3 + 10x^2 + 16x + 24) by (2x + 3), we can use long division. Here is the complete division process:
2x^2 + 2x
_______________________
2x + 3 | 4x^3 + 10x^2 + 16x + 24
-(4x^3 + 6x^2)
_______________
4x^2 + 16x
- (4x^2 + 6x)
________________
10x + 24
- (10x + 15)
______________
9
Therefore, the quotient is 2x^2 + 2x with a remainder of 9.