Question

Divide the polynomials. Your answer should be in the form p(x) / kx where p is a polynomial and k is an integer. Find (4x³ - 3x) / (1/x).

Answer 1

To divide the polynomials (4x³ - 3x) / (1/x), we can multiply the numerator by the reciprocal of the denominator, which gives us 4x⁴ - 3x² as the result.

Step-by-step explanation:

To divide the polynomials (4x³ - 3x) / (1/x), we can use the rule of dividing by a fraction. When dividing by a fraction, we can multiply the numerator by the reciprocal of the denominator. Therefore, we have:

(4x³ - 3x) / (1/x) = (4x³ - 3x) * (x/1) = 4x³ * x - 3x * x = 4x⁴ - 3x²