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Use synthetic division to simplify \( \frac{3x^4 + 9x^3 - 5x^2}{x - 1} \). Write your answer in the form \(...
Use synthetic division to simplify \( \frac{3x^4 + 9x^3 - 5x^2}{x - 1} \).
Write your answer in the form \( q(x) + \frac{r}{d(x)} \) where \( q(x) \) is a polynomial, \( r \) is an integer, and \( d(x) \) is a linear polynomial. Simplify any fractions.
Write your answer in the form \( q(x) + \frac{r}{d(x)} \) where \( q(x) \) is a polynomial, \( r \) is an integer, and \( d(x) \) is a linear polynomial. Simplify any fractions.