If the product of the roots of 9 x 3 + 112 x 2 - 120 x + a = 0 is 12 , then the value of a ' ' is

Step-by-step solution

Given: 9 x 3 + 112 x 2 - 120 x + a = 0 where α , β   &   γ are the roots of the given equation. α β γ = 12 As we know,   a x 3 + b x 2 + c x + d = 0 ⇒     α β γ = - d a ⇒   - a 9 = 12 ⇒   a = - 12 × 9 = - 108