Question

Find a cubic polynomial when sum, sum of the products of
its zeros taken two at a time and product of its zeros as
0,-1, 6 respectively.​

Answer 1

0

Step-by-step explanation:

Answer 2

Answer:

ANSWER

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