Question

Perform the indicated division of a polynomial by a monomial

Answer 1

The given expression is

`(-24x^5-30x^3)/(-6x^2)`

First, separate the division, that is, assign the denominator to each term in the numerator.

`(-24x^5)/(-6x^2)+(-30x^3)/(-6x^2)`

Second, divide the numbers, -24 by -6 and -30 by -6.

`(4x^5)/(x^2)+(5x^3)/(x^2)`

Third, divide the powers, to do so, subtract their exponents.

`4x^(5-2)+5x^(3-2)=4x^3+5x`

Therefore, the simplest expression after dividing is

`4x^3+5x`