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2. If a and B are the zeros of the quadratic polynomial f (x)=ax2+bx+c(i)a-B |
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Answer» Step-by-step explanation: Sum of the roots of the given equation =α+β=a−b ...(1) Product of the roots of the given equation =αβ=−ac ....(2) βα2+αβ2 =αβα3+β3=αβ(α+β)(α2−αβ+β2)=αβ(α+β)((α+β)2−2αβ−αβ)=αβ(α+β)((α+β)2−3αβ) ....(3) Substituting (1),(2) in (3), we get βα2+αβ2=−c/a(−b/a)((−b/a)2−3(−c/a))=cb[a2 hope it helped you!!!:) |
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