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

Answer:

The required solution is 3x-7.

Step-by-step explanation:

The given expression is

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

It can be written as

$\frac{9x^2-18x-7}{3x+1}$

Factorize the numerator.

$\frac{9x^2-21x+3x-7}{3x+1}$

$\frac{3x(3x-7)+1(3x-7)}{3x+1}$

$\frac{(3x-7)(3x+1)}{3x+1}$

Cancel out the common factors.

$3x-7$

Therefore the required solution is 3x-7.