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musickatia [10]
3 years ago
8

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

Mathematics
1 answer:
Elza [17]3 years ago
3 0
We want to evaluate
\frac{6x^{4}+15x^{3}+10x^{2}+10x+4}{3x^2+2}

Perform long division
                                  2x²  + 5x  + 2
           ----------------------------------------
3x²+2 | 6x⁴ + 15x³ + 10x² + 10x + 4
             6x⁴ +             4x²
           ----------------------------------------
                      15x³ + 6x² + 10x + 4
                      15x³           + 10x
            ---------------------------------------
                                6x²           + 4
                                6x²           + 4

Answer: 2x² + 5x + 2

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