Find the sum of roots for the equation 2x³ + 7x² − 9x + 12.

Correct option is C

Given:

The cubic equation is 2x³ + 7x² − 9x + 12 = 0.

Formula Used:

The sum of the roots of a cubic equation ax³ + bx² + cx + d = 0 is given by the formula:
Sum of roots = -b/a, where a and b are the coefficients of x³ and x², respectively.

Sum of roots = -b/a

Solution:

For the given equation 2x³ + 7x² − 9x + 12 = 0, we have:
a = 2 (coefficient of x³)
b = 7 (coefficient of x²)

Using the formula for the sum of the roots:
Sum of roots = -b/a = -7/2

The sum of the roots is -7/2.