To divide the polynomial 4x³ + 2x² + 3x + 4 by x⁴, we can write the division as follows:
Result = (4x³ + 2x² + 3x + 4) ÷ x⁴
We can treat this division in terms of each individual term of the polynomial. Let’s break it down:
- Dividing the first term: 4x³ ÷ x⁴ = 4/x
- Dividing the second term: 2x² ÷ x⁴ = 2/x²
- Dividing the third term: 3x ÷ x⁴ = 3/x³
- Dividing the constant term: 4 ÷ x⁴ = 4/x⁴
Now, we can combine all the results into one expression:
Result = 4/x + 2/x² + 3/x³ + 4/x⁴
This means that 4x³ + 2x² + 3x + 4 divided by x⁴ results in 4/x + 2/x² + 3/x³ + 4/x⁴.