Q. If & and ß are the zeroes of the quadratic
polynomial 3x²+ 5x-2, then find a quachatic polynomial
whose roots are 2alpha+ß and 2beta+ alpha.
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Answer:
If alpha and beta are zeroes of the quadratic polynomial f(x) = 3x^2 - 5x - 2 , then find the values of alpha^2beta + beta^2alpha
Step-by-step explanation:
Answer
f(x)=3x2−5x−2
α+β=35,αβ=3−2
Given, βα2+αβ2
=αβα3+β3
=αβ(α+β)(α2+β2−αβ)
=αβ(α+β)∫(α+β)2−3αβ
=−2/3(35)(925+2.)
=2−5(943)=16−215
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