Question

divide polynomials by x (no remainders)
divide the polynomials.
your answer should be a polynomial.
\\(\frac{3x^5 - x}{x} = \\) \\(\boxed{}) (with a small -x + = button next to the box)

Explanation:

Step1: Split the fraction

We can split the fraction \(\frac{3x^5 - x}{x}\) into two separate fractions: \(\frac{3x^5}{x} - \frac{x}{x}\)

Step2: Simplify each fraction

For \(\frac{3x^5}{x}\), using the rule of exponents \( \frac{x^m}{x^n}=x^{m - n}\) (here \(n = 1\)), we get \(3x^{5-1}=3x^4\). For \(\frac{x}{x}\), it simplifies to \(1\). So combining these, we have \(3x^4-1\)

Answer:

\(3x^4 - 1\)