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AleksandrR [38]
3 years ago
6

How do I solve this math problem?

Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

Answer: 4x² + 4x - 2 - \frac{3}{2x+3}

<u>Step-by-step explanation:</u>

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

       <u>|    ↓    -6    -6    3 </u>

            4     4    -2   -3  ← <em>-3 is the remainder</em>

            ↓     ↓     ↓

           4x² +4x  -2  ← <em>factored polynomial</em>

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