Q. 302 - Intermediate Algebra

Question

Divide the polynomial by the monomial-

$\frac{10x^2+5x-4}{-5x}$

Step-by-Step Solution

Answer

The solution is $-2x-1+\frac{4}{5}{x}^{-1}$

Step 1. Given information

To solve, $\frac{10x^2+5x-4}{-5x}$

Step 2. Calculation

Solving the equation,

$$\begin{gathered} \frac{10x^2+5x-4}{-5x} \\ =\frac{10x^2}{-5x}+\frac{5x}{-5x}-\frac{4}{-5x} \\ =-2x-1+\frac{4}{5x} \\ =-2x-1+\frac{4}{5}{x}^{-1} \end{gathered}$$

The solution is $-2x-1+\frac{4}{5}{x}^{-1}$