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The trajectory of a particle moving in xy-plane is y=x 3 -3x 2 -4x+12. The particle crosses the x-axis : a)Once b) Twice c) Three times d) Four times

The trajectory of a particle moving in xy-plane is y=x3-3x2-4x+12. The particle crosses the x-axis :


a)Once


b) Twice


c) Three times


d) Four times

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear abhingya

y=x3-3x2-4x+12

f(x)= x3-3x2-4x+12

 

f(-2) =0

f(2) =0

f(3) =0

clearly it cut the x axis at three points

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