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Home » Subtracting equation (2) from (3): - Sourci

Subtracting equation (2) from (3): - Sourci

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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\( (-\infty, -1) \cup (2, 3) \)
Thus, the solution is:
oxed{(-\infty, -1) \cup (2, 3)}
Find the remainder when \( u^5 - 3u^3 + 2u + 8 \) is divided by \( u^2...
We are to divide \( u^5 - 3u^3 + 2u + 8 \) by \( u^2 - 2u + 1 \). Note...
\[ u^2 - 2u + 1 = (u - 1)^2 \]
Let \( f(u) = u^5 - 3u^3 + 2u + 8 \). Since the divisor is quadratic,...
By the Remainder Theorem for polynomials, we use polynomial division o...
\[ f(u) = (u - 1)^2 Q(u) + au + b \]
\( f(1) = a(1) + b = a + b \)

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