Question

(7+15x-13x²+5x³)/(4-3x+x²)​

Answer 1

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