Q9 of 90 Page 2

Find all the zeroes of the polynomial given below having given numbers as its zeroes.

x3 + 2x2 – 2; – 2

Given zeroes is – 2


So, (x + 2) is the factor of x3 + 2x2 – x – 2


Let us divide x3 + 2x2 – x – 2 by x + 2


The division process is



Here, quotient = x2 – 1


= (x – 1)(x + 1)


So, the zeroes are – 1 and 1


Hence, all the zeroes of the given polynomial are – 1, – 2 and 1.


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