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ASUS Computers: The Ultimate Gaming Rig You Never Knew You Needed - RTA

📅 May 10, 2026 👤 scraface

May 10, 2026

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📌 Subtract Eq 2 from Eq 3:

📌 Subtract (A) from (B):

📌 Substitute $ a = 0 $ into (A): $ 6(0) + b = 2 \Rightarrow b = 2 $.

📌 Substitute $ a = 0, b = 2 $ into Eq 1:

📌 7(0) + 3(2) + c = 7 \Rightarrow 6 + c = 7 \Rightarrow c = 1.

📌 Now use $ p(1) $: $ 0 + 2 + 1 + d = 3 \Rightarrow d = 0 $.

📌 Thus, $ p(x) = 2x^2 + x $. Then $ p(0) = 0 $.

📌 But wait—this is quadratic, but the problem states $ p(x) $ is cubic. Contradiction? Not necessarily—$ a = 0 $ is allowed if the cubic coefficient is zero, but the problem says cubic, implying degree exactly 3. So we must assume it's cubic, but our solution gives $ a = 0 $. That means the data fits a quadratic, but we are told it's cubic. So either the model is misclassified, or we must accept the interpolating polynomial, regardless of degree. Since the interpolation yields a unique cubic (degree at most 3), and we found $ a = 0 $, the polynomial is actually quadratic. But the problem says cubic, so we must reconsider.

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