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Home » Bring to standard form: \( w^2 + 2w - 52 = 0 \) - ClickBalance

Bring to standard form: \( w^2 + 2w - 52 = 0 \) - ClickBalance

📅 May 18, 2026 👤 scraface

May 18, 2026

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Question: A science communicator is designing an interactive exhibit o...
Solution: We are given a cubic polynomial \( h(x) = x^3 + px + q \), a...
h(1) = 1^3 + p(1) + q = 1 + p + q = 4 \quad ext{(1)}
h(2) = 8 + 2p + q = 10 \quad ext{(2)}
h(3) = 27 + 3p + q = 24 \quad ext{(3)}
p + q = 3 \quad ext{(i)}
From (2):
2p + q = 2 \quad ext{(ii)}
+ q = 3 \Rightarrow q = 4
Now verify with (3):

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