The quotient of the polynomials is 6x^2 - 2x + 5 with a remainder of -50.
The quotient of polynomials show (12x^3+26x^2+25)÷(2x+5)
To find the quotient of the polynomials ÷ (2x + 5), you can use polynomial long division as follows:
6x^2 - 2x + 5
-----------------------
2x + 5 | 12x^3 + 26x^2 + 25
- (12x^3 + 30x^2)
---------------
-4x^2 + 25
- (-4x^2 - 10x)
--------------
35x + 25
- (35x + 75)
-------------
-50
Therefore, the quotient of the polynomials is 6x^2 - 2x + 5 with a remainder of -50.