Answer
-25x² + 100x - 412
Step-by-step explanation
Given the division:
[tex](-25x^3-1648-12x)\div(x+4)[/tex]
Reordering the terms in the dividend:
[tex](-25x^3-12x-1648)\div(x+4)[/tex]
Completing the terms in the dividend:
[tex](-25x^3+0x^2-12x-1648)\div(x+4)[/tex]
The synthetic division is calculated as follows:
The degree of the quotient is one less than the degree of the dividend (which is 3). Then the degree of the quotient will be 2. Using the coefficients obtained in the synthetic division, the result of the division is:
[tex]-25x^2+100x-412[/tex]
