How do I solve this math problem?
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Answer: 4x² + 4x - 2 - [tex]\frac{3}{2x+3}[/tex]
Step-by-step explanation:
You can use either synthetic or long division. I am using synthetic division:
2x + 3 = 0 ⇒ x = [tex]-\frac{3}{2}[/tex]
[tex]-\frac{3}{2}[/tex] | 4 10 4 -6
| ↓ -6 -6 3
4 4 -2 -3 ← -3 is the remainder
↓ ↓ ↓
4x² +4x -2 ← factored polynomial