Question

Make a problem that has a binomial which is a factor of the polynomial being divided.

Answer 1

Find the quotient when \(2x^3 + 5x^2 - x - 6\) is divided by \(x + 2\).

Answer 2

create another one more understandable

Answer 3

Find the quotient when \(4x^2 + 7x - 3\) is divided by \(2x + 1\).

Answer 4

solve

Answer 5

To find the quotient, we can use long division or synthetic division.

Using long division:
```
2x + 1 | 4x^2 + 7x - 3
-(4x^2 + 2x)
------------------
5x - 3
-(5x + 2)
-----------
-5
```
Therefore, the quotient is \(2x + 5\) with a remainder of -5.