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Taya2010 [7]
2 years ago
8

423

Mathematics
1 answer:
balu736 [363]2 years ago
7 0

Answer:

x³ - 3x² + 10x + 3 + \frac{6}{x^4-4x^3+13x^2-7x+3}

Step-by-step explanation:

Using synthetic division to divide by x - 1

 1  |  1   - 4   13   - 7   3

       ↓   1     - 3  10    3

    ----------------------------

       1  - 3    10    3    6 ← remainder = 6

      --------------------

               ↑ quotient

\frac{x^4-4x^3+13x^2-7x+3}{x-1} = x³ - 3x² + 10x + 3 + \frac{6}{x^4-4x^3+13x^2-7x+3}

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