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📰 Question: Find the remainder when $ x^5 - 2x^3 + x^2 + 1 $ is divided by $ x^2 - 3x + 2 $, focusing on polynomial division techniques. 📰 Solution: Factor the divisor: $ x^2 - 3x + 2 = (x-1)(x-2) $. Use the Remainder Theorem: Let $ R(x) = ax + b $ be the remainder. Evaluate $ f(1) = 1 - 2 + 1 + 1 = 1 = a(1) + b $. Evaluate $ f(2) = 32 - 16 + 4 + 1 = 21 = a(2) + b $. Solve: $ a + b = 1 $, $ 2a + b = 21 $. Subtract: $ a = 20 $, then $ b = -19 $. Remainder: $ 20x - 19 $. \boxed{20x - 19} 📰 Question: If $ h(2y + 1) = y^3 - 5y + 6 $, find $ h(y^2 - 1) $. 📰 Youll Never Guess These Dress Up Games Everyones Fearlessly Playing 8027533 📰 Youll Never Believe How Fast Your Instant Pot Brown Rice Cooksheres The Secret 4060859 📰 Dermal Piercing Boom What Every Beauty Enthusiast Should Know Before Trying It 1187255 📰 Southland Tv Series The Heart Stopping Moments You Need To See Spoilers Inside 6173516 📰 Fresh Off The Boat Episodes 1470576 📰 This Simple Bunting Design Turns Any Room Into A Masterpiecewatch The Magic Unfold 9524520 📰 Mezzeme 252883 📰 Youll Never Guess What Happens When You Add A Shared Mailbox In Outlook 5615305 📰 Water Filter For Hard Water 1854466 📰 Girls Tech Fans How Oracle Virtual Machine Server Changed The Game In Cloud Hosting 2787242 📰 Mind Wave Game 1074187 📰 Kenneth Mcmillan 6438290 📰 Steakhouses In San Francisco Bay Area 392324 📰 Billing Schedule 221134 📰 Finance Revolution Alert Yahoo And Microsoft Unite To Boost Your Finances Instantly 4745688