Question

what is rational algebraic expression of x²-+3x-4/x³-1​

Answer 1

Answer:

(x^5 + 3 x^4 - x^3 - 4)/x^3

Step-by-step explanation:

Rationalize the following:

x^2 + 3 x - 1 - 4/x^3

Put each term in x^2 + 3 x - 1 - 4/x^3 over the common denominator x^3: x^2 + 3 x - 1 - 4/x^3 = x^5/x^3 + (3 x^4)/x^3 - x^3/x^3 - 4/x^3:

x^5/x^3 + (3 x^4)/x^3 - x^3/x^3 - 4/x^3

x^5/x^3 + (3 x^4)/x^3 - x^3/x^3 - 4/x^3 = (x^5 + 3 x^4 - x^3 - 4)/x^3:

Answer: |

| (x^5 + 3 x^4 - x^3 - 4)/x^3