Question

if α,βare zeros of polynomial x2-2x-15, then form a quadratic polynomial whose zeros are(2α) and(2β).​

Answer 1

✔️✔️ ANSWER ✔️✔️

if α,βare zeros of polynomial x2-2x-15, then form a quadratic polynomial whose zeros are(2α) and(2β)

Given that ;:::::::::

α and β are the zeroes of the polynomial x^2 - 2x - 15

then α + β = 2 and αβ  = -15 

If 2α, 2β are zeros of the quadratic polynomial then the equation is  

x^2- 2(α + β)x + 4αβ =0 

then Sum of roots = 2(α + β) = 4                      

 Product of roots = 4αβ  = -60

Now the polynomial equation is 

x^2 - 4x - 60 =0.

✔️✔️ANSWER ✔️✔️

X^2-4X-60=0

I HOPE THIS INFO HELPS YOU ☺️☺️☺️

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