Final answer:
To perform the division, simplify the equation by dividing each term by -3x⁴. Then, further simplify the expression by dividing the terms. The result is -3x + 2x²/3x³ - 5/x⁴.
Step-by-step explanation:
To perform the division
3x - 2x³ + 5
÷ -3x⁴
we can first simplify the equation by dividing each term by -3x⁴.
This gives us:
-3x + 2x³/3x⁴ - 5/3x⁴
Now, we can simplify further:
The term 2x³/3x⁴ can be simplified by dividing both the numerator and denominator by x, which gives us 2x²/3x³.
Similarly, the term -5/3x⁴ can be simplified by dividing both the numerator and denominator by x⁴,which gives us -5/x⁴.
Therefore, the simplified equation is -3x + 2x²/3x³ - 5/x⁴.
Learn more about dividing polynomials