Answer:
x³ - 3x² + 10x + 3 + [tex]\frac{6}{x^4-4x^3+13x^2-7x+3} [/tex]
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
[tex]\frac{x^4-4x^3+13x^2-7x+3}{x-1} [/tex] = x³ - 3x² + 10x + 3 + [tex]\frac{6}{x^4-4x^3+13x^2-7x+3} [/tex]
