Question

How do I solve this math problem?

Answer 1

Answer: 4x² + 4x - 2 -
`(3)/(2x+3)`

Explanation:

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

2x + 3 = 0 ⇒ x =
`-(3)/(2)`

`-(3)/(2)` | 4 10 4 -6

| ↓ -6 -6 3

4 4 -2 -3 ← -3 is the remainder

↓ ↓ ↓

4x² +4x -2 ← factored polynomial