Question

How do I solve this math problem?

Answer 1

Answer: 4x² + 4x - 2 - $\frac{3}{2x+3}$

Step-by-step explanation:

You can use either synthetic or long division.  I am using synthetic division:

2x + 3 = 0   ⇒   x = $-\frac{3}{2}$

 $-\frac{3}{2}$   |    4    10    4    -6

       |    ↓    -6    -6    3

            4     4    -2   -3  ← -3 is the remainder

            ↓     ↓     ↓

           4x² +4x  -2  ← factored polynomial