​$$\text{Sum and product of all roots of } 4x^3 - 8x^2 - 13x + 19 = 0 \text{ is:}$$​

Correct option is D

Given:

Cubic equation $$4x^{3}-8x^{2}-13x+19=$$​0 with roots r$$_1,r_2,r_3.$$​​

Formula Used:
For a$$x^{3}+bx^{2}+cx+d=0:$$​​

Sum of roots r$$_1+r_2+r_3=-\frac{b}{a}$$​​

Product of roots $$r_1r_2r_3=-\frac{d}{a}$$​​

Solution:
Here a = 4, b = -8, d = 19.

Sum = $$-\frac{-8}{4}=\frac{8}{4}=2$$​​

Product =$$-\frac{19}{4}$$​​