Find the quotient of 5x^4 ÷ 3x^2 ÷ 4x

To find the quotient of the expression 5x⁴ ÷ 3x² ÷ 4x, we will perform the division step by step.

1. **Divide the coefficients**: We start by dividing the numerical coefficients: 5 ÷ 3 ÷ 4. First, divide 5 by 3 which gives us 5/3. Then take that result and divide by 4:

5/3 ÷ 4 = 5/3 × 1/4 = 5/12.

2. **Divide the variables**: Next, we handle the variable parts. When dividing like bases, we subtract the exponents:

x⁴ ÷ x² ÷ x = x^(4-2-1) = x¹ = x.

Putting it all together, we get:

Quotient = 5/12x

So the final answer is:

5/12x.