Q6 of 180 Page 4

If the number of zeroes of the polynomial f(x) shown below is t, then find the value of t3 – 3t2 + 9.


Since, Curve intersects the x-axis at three points, there are three zeroes and t = 3


Hence,


t3 – 3t2 + 9


= (3)3 – 3(3)2 + 9 = 9


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