Question

EXAMPLE 18 If a and B are the zeros of the quadratic polynomial f(x) 3x² - 4x + 1, find a quadratic polynomial whose zeros are a²/B and B²/a.
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Answer 1

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We have,

3x2−4x+1=0α+β=34α.β=31β2α2+α2β2=αβ(α+β)(α2+β2−α.β)=31(α+β)((α+β)2−3αβ)=4(916−1)=94×7=928βα2×αβ2=αβ=31

Hence,

quadratic equation whos

Answer 2

I hope this will help you

second part is from where I have written 2