Question

divide polynomials by x (no remainders)
divide the polynomials.
your answer should be a polynomial.
\\(\frac{3x^5 + x^4 - 4x^2}{x}\\) =

Explanation:

Step1: Divide each term by \( x \)

For the first term \( 3x^5 \div x \), using the rule \( \frac{x^m}{x^n}=x^{m - n} \) (here \( n = 1 \)), we get \( 3x^{5-1}=3x^4 \).
For the second term \( x^4 \div x \), we get \( x^{4 - 1}=x^3 \).
For the third term \( - 4x^2 \div x \), we get \( - 4x^{2-1}=-4x \).

Answer:

\( 3x^4 + x^3 - 4x \)