10. Ifa and B are the zeros of the quadratic polynomial f(t) = t^2-4t+3, find the value of. a^4b^3+a^3b^4
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Answer:
13 × 1 = 13
13 × 2 = 26
13 × 3 = 39
13 × 4 = 52
13 × 6 = 78
13 × 7 = 91
13 × 8 = 104
13 × 9 = 117
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Answer:
α and β are the roots of the quadratic polynomial f(t) where a = 1, b = -4 and c = 3 Sum of the roots = α + β = −ba−ba = – (−4)1(−4)1 = 4 Product of the roots = αβ = caca = 3131 = 3 α4β3 + α3β4 ⇒ α3β3 (α +β) ⇒ (αβ)3 (α +β) ⇒ (3)3 (4) = 27 x 4 = 108
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