Question

What is the quotient (3x^2 + 8x -3) divided by (x + 3)

Answer 1

Quotient = (3x-1)

Explanation:

we need to find the quotient when (3x² + 8x -3) is divided by (x+3)

It means we need to divide (3x² + 8x -3) by (x+3).

We can write it as follows :

`(3x^2 + 8x -3)/((x+3))`

Applying middle term splitting on the numerator.

`(3x^2 +9x-x-3)/((x+3))\\\\=(3x(x+3)-1(x+3))/((x+3))\\\\=((3x-1)(x+3))/((x+3))\\\\=(3x-1)`

So, the required quotient is (3x-1)