Algebramedium · Past Paper

If α, β are roots of x^2 - 3x + 1 = 0, find α^2β + αβ^2.

A3
B1
C-3
D0

✓ Correct Answer: A3

α^2β + αβ^2 = αβ(α+β). αβ = 1, α+β = 3. Value = 1 * 3 = 3.

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