Question:
If \( \frac{17x - 2}{12x^2 - x - 20} = \frac{A}{ax + 5} + \frac{B}{3x + b} \), then \( a \cdot A + b \cdot B \) is:
If \( \frac{17x - 2}{12x^2 - x - 20} = \frac{A}{ax + 5} + \frac{B}{3x + b} \), then \( a \cdot A + b \cdot B \) is:
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For partial fractions, equate the numerators and solve the system of equations to find the unknowns.
Updated On: May 15, 2025
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The Correct Option is B
Solution and Explanation
We are given the equation \( \frac{17x - 2}{12x^2 - x - 20} = \frac{A}{ax + 5} + \frac{B}{3x + b} \). By solving this equation using partial fractions and simplifying, we find that \( a \cdot A + b \cdot B = 4 \).
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