Question

Perform the polynomial division. Then place the answer in the proper location on the grid. Do not include parentheses in your answer. (27ax3 – 9a2x) ÷ 3ax

Answer 1

`9x^2-3a`

Explanation:

We are given that an expression

`(27ax^3-9a^2x)/ 3ax`

It can be written as

`(27ax^3-9a^2x)/(3ax)`

We have to find the answer by using polynomial division.

Denominator: Bottom part of fraction

Numerator: Upper part of fraction

Divisor: It is called denominator which divides the dividend.

Dividend: It is called numerator which is divided by divisor.

We have

Divisor=
`3ax`

Dividend=
`27ax^3-9a^2x`

Quotient: The result which is obtained when divisor divides the dividend.

Quotient=
`9x^2-3a`

Answer 2

`(27ax^3-9a^2x)/3ax=9ax(3x^2-a)/3ax \\ \\ =3(3x^2-a)=\bold{9x^2-3a}`