Math, asked by avrx2003, 1 year ago

If α and β are the zeroes of the polynomial x2 - 4x -3 . Frame the polynomial whose zeroes are
2 α and 2 β

30 points please help me fast

Answers

Answered by jiitaalamrita
0

I am representing alpha as a and beta as b

a and b are zeroes of polynomial x²-4x-3

Therefore, a+b=4(-b/a)

And, ab=-3(c/a)

Now,2a and 2b are zeroes of a polynomial

Therefore, 2a+2b=2(a+b)=2(4)=8

And 2a*2b=4ab=4*-3=-12

So,a=1

b=-8

c=12

The polynomial is x²-8x+12


jiitaalamrita: Think so its correct
jiitaalamrita: If its correct, hope it helps you
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