Use long division to divide.
4x^4/
(x − 1)3
To use long division to divide 4x^4 by (x - 1)^3, follow these steps:
Step 1: Start by dividing the highest degree term of the dividend (4x^4) by the highest degree term of the divisor (x - 1). The result is 4x^3.
________
(x - 1)^3 | 4x^4
4x^3
Step 2: Multiply the result of the previous division (4x^3) by the entire divisor (x - 1)^3. Write the product underneath the dividend and subtract it.
4x^3(x - 1)^3
- 4x^4
___________________
Step 3: Bring down the next term of the dividend. In this case, it is zero because we have no more terms.
The final result of the division is:
4x^3
Note: The division process may continue if there are additional terms in the dividend. But since your question only asks for the division of 4x^4 by (x - 1)^3, this is the final answer.