Question

Divide the following polynomial, then place the answer in the proper location on the grid.

(6x 2 +11x - 35) (3x - 5)

Answer 1

6x² + 11x - 35 = (3x - 5)(2x + 7)

=> (3x - 5)(2x + 7)/(3x - 5)

i.e. 2x + 7...........as the 3x - 5 term cancels.

Answer 2

`6x^(2) +11x-35 / 3x-5=2x+7`

Explanation:

The given polynomials are

`6x^(2) +11x-35`

`3x-5`

If we divide them by the long method, the process would be as shows the image attached.

So, by long division, the quotient between the given polynomials would be

`6x^(2) +11x-35 / 3x-5=2x+7`

We can demonstrate this by multiplying
`(3x-5)(2x+7)`

`(3x-5)(2x+7)=6x^(2) +21x-10x-35=6x^(2) +11x-35`