If $2,3,6$ are the roots of the polynomial $f(x)=x^3+a x^2+b x+c$, where $a, b, c, \in C$. Then, the value of $a-c$ is

Question

Aicharya · Accepted Answer

$\begin{array}{rlrl} & & x^3+a x^2+b x+c=(x-2)(x-3)(x-6) \ \Rightarrow & & \quad x^3+a x^2+b x+c \ & = & x^3-11 x^2+36 x-36 \ & \Rightarrow & a & =-11, b=36, c=-36 \ 	herefore & a-c & =-11+36=25\end{array}$

If $2,3,6$ are the roots of the polynomial $f(x)=x^3+a x^2+b x+c$, where $a, b, c, \in C$. Then, the value…

Solution