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Home » Independent claims: 72 × (1/6) = 12. - High Altitude Science

Independent claims: 72 × (1/6) = <<72 / 6 = 12>>12. - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Divide \( x^4 \) by \( x^2 \) to get \( x^2 \).

📌 Multiply and subtract:

📌 Multiply \( x^2 \) by \( x^2 + 1 \) to get \( x^4 + x^2 \).

📌 Subtract from the original polynomial:

📌 Repeat the process:

📌 Divide \( 2x^2 \) by \( x^2 \) to get \( 2 \).

📌 Multiply \( 2 \) by \( x^2 + 1 \) to get \( 2x^2 + 2 \).

📌 The remainder is \(-1\). Therefore, the remainder when \( x^4 + 3x^2 + 1 \) is divided by \( x^2 + 1 \) is \(\boxed{-1}\).

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