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Find the volume of the cuboid …

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Find the volume of the cuboid whose sides are zeroes of polynomial x square- 6xsquare +11x-6
  • 1 answers

Gaurav Seth 4 years, 4 months ago

The equation is  x³ - 6x² + 11x - 6

Putting x =1
(1)^3 -6(1)^2+11(1)-6=0
one root is (x-1)
divide whole eqn by (x-1)
(x-1) | x^3 -6x^2 + 11x -6 | X^2 -5x +6
x^3 -x^2
=======
-5x^2 +11x-6
-5x^2+5x
========
6x-6
6x-6
=====
0
so eqn is x^2-5x+6=0
x^2-2x-3x+6=0
(x-2)(x-3)=0
so the roots are 1 ,2,3

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