Question

6. Find a cubic polynomial with the sum of
its zeros, sum of the products
its zeros
taken two at a time and product of its
zeros being given below.
(i) 4,1,-6
(ii) 1,-1,2
(iii) 17/6,-5/6,-1​

Answer 1

Answer:

Step-by-step explanation:

Let zeros of cubic polynomial are α,β and γ. Then

α+β+γ=0

αβ+βγ+αγ=−7

αβγ=−6

Now, the required polynomial is

x  

3

−(α+β+γ)x  

2

+(αβ+βγ+αγ)x−(αβγ)

Therefore, the required polynomial is x  

3

−(0)x  

2

+(−7)x−(−6) i.e x  

3

−7x+6