if alpha and beta are zeros of polynomial x^2-3x+2 then find alpha^2(beta)+alpha (beta)^2
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Answer:
α²*β +α*β² = 6
Step-by-step explanation:
Sum of zeroes = 3/1 ⇒ α + β = 3
Product of zeroes = 2/1 ⇒ α*β = 2
Now, α²*β +α*β² = α*β(α+β) = 3*2 = 6
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