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Home » Shocking Anne Frank Quotes That Will Make You Never Forget Her Legacy! - Veritas Home Health

Shocking Anne Frank Quotes That Will Make You Never Forget Her Legacy! - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 First, compute \( R(t) = 3t^2 + 2t + 1 \) for \( t = 1 \) to \( 10 \):

📌 R(1) &= 3(1)^2 + 2(1) + 1 = 3 + 2 + 1 = 6, \\

📌 R(2) &= 3(4) + 4 + 1 = 12 + 4 + 1 = 17, \\

📌 R(3) &= 3(9) + 6 + 1 = 27 + 6 + 1 = 34, \\

📌 R(4) &= 3(16) + 8 + 1 = 48 + 8 + 1 = 57, \\

📌 R(5) &= 3(25) + 10 + 1 = 75 + 10 + 1 = 86, \\

📌 R(6) &= 3(36) + 12 + 1 = 108 + 12 + 1 = 121, \\

📌 R(7) &= 3(49) + 14 + 1 = 147 + 14 + 1 = 162, \\

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From the cubic \( x^3 - 4x^2 + 5x - 6 = 0 \), the symmetric sums are:
\( \sum x_i = 4 \)
\( \sum_{i<j} x_i x_j = 5 \)
\sum x_i^2 = 4^2 - 2 \cdot 5 = 16 - 10 = 6
Since each \( v_i = x_i^2 \), the sum of the roots \( v_i \) is:
\sum v_i = \sum x_i^2 = 6
Therefore, the sum of the roots of the original equation is:
oxed{6}
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We are to divide \( u^4 + 3 \) by \( u^2 - 2u + 2 \) and find the rema...

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