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📰 So $ g(x) $ has roots at $ x = 1, 2, 3, 4 $. But $ g(x) $ is a cubic polynomial, while a cubic polynomial cannot have 4 distinct roots unless it is identically zero — contradiction. 📰 Therefore, such a cubic polynomial cannot exist — unless the values force a special form. But the values $ f(1)=10, f(2)=20, f(3)=30, f(4)=40 $ suggest $ f(x) - 10x $ has four zeros. So define: 📰 Then $ g(1) = g(2) = g(3) = g(4) = 0 $. So $ g(x) $ has roots at $ 1,2,3,4 $, so $ g(x) = k(x-1)(x-2)(x-3)(x-4) $, but this is degree 4 — contradiction, since $ f(x) $ is cubic. 📰 Inanimate Objects 8931378 📰 Vested Balance Meaning 6858733 📰 You Wont Believe What This Mystery Enqt Unleashes From Qt 7007716 📰 Top 10 Health Care Facilities That Are Revolutionizing Patient Care Right Now 8672256 📰 Crazy Truck Battles Nitro Runs The Hottest Monster Truck Video Games Of 2024 6171315 📰 Soulframe Release Date Revealed Are You Ready For The Game Changing Teaser Update 9406339 📰 5 This Simple Strategy Lets You Own Gold Boost Your Portfolio Overnight 5735857 📰 2025S Hottest Ai Stocks The Megas That Will Dominate Wall Street 9297667 📰 What Is The Affordable Act 6547683 📰 Copenhangers Crazy Revamp How A City Went From Mundane To Must Visit 2628853 📰 City Building Png 687561 📰 How Many Days Until May 22 2701042 📰 Www Crazy Games Com 7422503 📰 Stop Waitingms Bookings Are Hitting Record Demand Book Now Before Its Too Late 3907269 📰 Unlock Infinite Creativity With The Ultimate Creative Cloud Desktop App 2625605