What is the quotient (6x4+15x3+10x2+10x+4) ÷ (3x2 + 2)?

Question

Answer:

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