2025年5月美国A卷练习 · 第 17 题

\( f\left(x\right)=\sqrt{x^3+ax^2+bx+c} \) 
The function f is defined by the given equation, where a, b, and c are integer constants. In the xy-plane, the graph of \( y=f\left(x\right) \)  passes through the point \( \left(5,\ 0\right) \), and \( f\left(0\right)=15 \). What is the value of \( 5a+b \)?