Q15 of 90 Page 2

Find a cubic polynomial with the sum of its zeroes, sum of the products of its zeroes taken two at a time and product of its zeroes as the numbers given below:

2, – 7, – 14

Let the zeroes be α, β and γ.


Then, we have


α + β + γ = 2


αβ + βγ + γα = – 7


and αβγ = – 14


Now, required cubic polynomial





Sox3 – 2x2 – 7x + 14 is the required cubic polynomial.


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