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If ЁЭЫ╝ and ЁЭЫ╜ are the zeros of the quadratic polynomial f(t) = t2 − 4t + 3, find the value of `alpha^4beta^3+alpha^3beta^4`
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Since ЁЭЫ╝ ЁЭСОЁЭСЫЁЭСС ЁЭЫ╜ are the zeroes of the polynomial f(t) = t2 − 4t + 3
Since α + β = 4
Product of zeroes αβ = 3
ЁЭР╗ЁЭСТЁЭСЫЁЭСРЁЭСТ α4β3 + α3β4 = α3β3(α + β) = [3]3[4] = 108
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