Question

What is the quotient?

x + 5 )4x2 + 14x − 9


4x + 6 +

4x + 6 −

4x − 6 +

4x − 6 −

Answer 1

Explanation:

Let's perform polynomial long division to find the quotient:

```

_______________________

x + 5 | 4x^2 + 14x - 9

4x^2 + 20x

-------------

-6x - 9

-6x - 30

--------

21

```

The quotient is:

```

4x + 6 - (6x + 9)/(x + 5)

```

Therefore, the correct option for the quotient is:

4x + 6 - 6x - 9

which simplifies to:

-2x - 3