Find a quadratic polynomial whose zeros are 2(a/b) and 2(b/a), if a and b are zeros of quadratic polynomial f(x)=x^2-2x+1
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Hello.
Let's begin solving.
x2-2x+1 is a quadratic polynomial and a, b are it's roots ..soooo...
f(x)=(x-1)2 implies that a=1 &b=1
so 2(a/b)=2
And 2(b/a)=2
Hence the required quadratic polynomial is :
x2-4x+4
Hope it helps.
Let's begin solving.
x2-2x+1 is a quadratic polynomial and a, b are it's roots ..soooo...
f(x)=(x-1)2 implies that a=1 &b=1
so 2(a/b)=2
And 2(b/a)=2
Hence the required quadratic polynomial is :
x2-4x+4
Hope it helps.
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