If α and β are the roots of the equation $3x^2+5x+4=0$, find the value of $α^3+β^3$ If α and β are the roots of the equation $3x^2+5x+4=0$, find the value of $α^3+β^3$
How can I factorize the expression to use the rule of sum and product of roots?
The answer is $\frac{55}{27}$

Using the general form of quadritic equation, $x^2 -(a+b) x  + ab$,
we get the values of $a+b$ and $ab$.
Now, the expression $a^3+b^3$ can be reduced to $(a+b)^3 -3ab(a+b)$. 
Substitute the value of $a+b$ and $ab$ in the above equation.
