What is the sum of the roots of the polynomial shown below?
f(x) = x^3 + 2x^2 - 11x-12

Sum of the roots of the polynomial

Solution:

The general form of cubic polynomial is ---- (1)

If we have any cubic polynomial having roots

Sum of roots = ---(2)

From question given that,

--- (3)

On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12

Hence the sum of roots using eqn 2 is given as,

=

= -2

Hence the sum of the roots of the polynomial

i think the answer is seven, for if i'm being useless °ω°

step-by-step explanation: