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Home » B: $t = 0.5$ - Treasure Valley Movers

B: $t = 0.5$ - Treasure Valley Movers

📅 April 15, 2026 👤 scraface

Apr 15, 2026

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Find the remainder when \( u^4 + 3 \) is divided by \( u^2 - 2u + 2 \)...
We are to divide \( u^4 + 3 \) by \( u^2 - 2u + 2 \) and find the rema...
We write:
u^4 + 3 = (u^2 - 2u + 2)Q(u) + au + b
To find \( a \) and \( b \), perform polynomial division or use substi...
Letâs use the roots of \( u^2 - 2u + 2 = 0 \). The discriminant is \...
u = rac{2 \pm \sqrt{-4}}{2} = rac{2 \pm 2i}{2} = 1 \pm i
Let \( lpha = 1 + i \), \( eta = 1 - i \). Then at \( u = lpha \):
lpha^4 + 3 = alpha + b
First compute \( lpha^2 \):

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