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

If the product of the roots of 9x3+112x2-120x+a=0 is 12  , then the value of  a'' is
  1. -12
  2. 12
  3. -108
  4. 108

Solution

Given: 9x3+112x2-120x+a=0

where α,β & γ are the roots of the given equation.

αβγ=12

As we know, ax3+bx2+cx+d=0⇒  αβγ=-da

⇒ -a9=12

⇒ a=-12×9=-108

Asked in: AP EAMCET 2021 (20 Aug Shift 2)

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