We want to evaluate
[tex] \frac{6x^{4}+15x^{3}+10x^{2}+10x+4}{3x^2+2} [/tex]
Perform long division
2x² + 5x + 2
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3x²+2 | 6x⁴ + 15x³ + 10x² + 10x + 4
6x⁴ + 4x²
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15x³ + 6x² + 10x + 4
15x³ + 10x
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6x² + 4
6x² + 4
Answer: 2x² + 5x + 2
