Let α and β are the roots of the given eqn
Sum of the roots
= α + β = \(\frac{Coefficient\,of\,x}{Coefficient\,of\,x^2}\) = - \(\frac{(-4)}{1}\) = 4
Product of the roots
= α x β= \(\frac{Constant\,term}{coefficient\,of\,x^2}\) = \(\frac{(3)}{1}\) = 3
Now, to evaluate
α 4β 3 + α3β 4 = α3β 3(α + β)
On substituting values from above, we get
⇒ 33× 4 = 108