Question

Divide the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x.

9x 2 - 18x - 7 ÷ (3x + 1)

Answer 1

9x^2 - 18x - 7
--------------------
(3x + 1)

(3x +1)(3x - 7)
= ------------------------
(3x + 1)

= 3x - 7

Answer 2

The required solution is 3x-7.

Explanation:

The given expression is

`(9x^2-18x-7)/ (3x+1)`

It can be written as

`(9x^2-18x-7)/(3x+1)`

Factorize the numerator.

`(9x^2-21x+3x-7)/(3x+1)`

`(3x(3x-7)+1(3x-7))/(3x+1)`

`((3x-7)(3x+1))/(3x+1)`

Cancel out the common factors.

`3x-7`

Therefore the required solution is 3x-7.