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Home » The product of the roots is \( 3 \times (-5) = -15 \). - go-checkin.com

The product of the roots is \( 3 \times (-5) = -15 \). - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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f(1) &= a(1)^3 + b(1)^2 + c(1) + d = a + b + c + d = 3 \quad \text{(1)...
f(2) &= 8a + 4b + 2c + d = -1 \quad \text{(2)}\\
f(3) &= 27a + 9b + 3c + d = 5 \quad \text{(3)}\\
f(4) &= 64a + 16b + 4c + d = -7 \quad \text{(4)}
$ (8a + 4b + 2c + d) - (a + b + c + d) = -1 - 3 $
$ \Rightarrow 7a + 3b + c = -4 \quad \text{(5)} $
$ (27a + 9b + 3c + d) - (8a + 4b + 2c + d) = 5 - (-1) $
$ \Rightarrow 19a + 5b + c = 6 \quad \text{(6)} $
$ (64a + 16b + 4c + d) - (27a + 9b + 3c + d) = -7 - 5 $
$ \Rightarrow 37a + 7b + c = -12 \quad \text{(7)} $

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