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Home » It is a right triangle. The area is: - Aurero

It is a right triangle. The area is: - Aurero

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 Now factor $ x^4 + 8x^2 + 80 $:

📌 Try factoring as $ (x^2 + a)^2 + b $, or test rational root theorem. Letâs try factoring by grouping:

📌 x^4 + 8x^2 + 80 = x^2(x^2 + 8) + 80

📌 Not helpful. Try factoring as a quadratic in $ x^2 $:

📌 Let $ u = x^2 $, then:

📌 u^2 + 8u + 80 = (u + 4)^2 + 64

📌 This is irreducible over real numbers. So the expression is:

📌 This is the simplest factored form over the reals.

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