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
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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
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