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📰 Question:** A mathematician working on algebraic topology defines a function \( f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1 \). Determine the remainder when \( f(x) \) is divided by \( x - 1 \). 📰 Solution:** To find the remainder when \( f(x) \) is divided by \( x - 1 \), we use the Remainder Theorem, which states that the remainder of the division of a polynomial \( f(x) \) by \( x - c \) is \( f(c) \). Here, \( c = 1 \), so we calculate \( f(1) \): 📰 f(1) = 1^4 - 4 \cdot 1^3 + 6 \cdot 1^2 - 4 \cdot 1 + 1 = 1 - 4 + 6 - 4 + 1 = 0 📰 Why Ua High School Is Now The Hottest Name In Education Sportsheres The Full Story 7557084 📰 List Of Heroes 9648363 📰 Swimwear That Roars The Bold And Breathtaking Red Swimsuit You Need To Try Now 1876937 📰 This Live Action Cw Powerpuff Girls Trailer Shocks Us Allpeak Superhero Action Is Here 4577034 📰 Perhaps The Region Is A Square With Side Length Equal To The Number Of Cells But Still 254224 📰 Nkla Stock Soaring Experts Reveal The Hidden Catalyst Behind The Hype 3951306 📰 Atomfall You Wont Believe The Hidden Story Behind The Games Dark Twist 9697882 📰 Discover Your Companys Ticker Symbol Inside Seconds With Our Ultimate Ticker Search Tool 9099502 📰 From Class To Chaos Orange Nails You Need To Try Before Its Too Late 7157079 📰 Tflab Tradingview 5382411 📰 Public Service Plumbers 716585 📰 Stop Blocked Games Forever Lol1V1 Unblocked With This Simple Hack 4358153 📰 Borador Font Shocked The Internet Heres What Makes It The Hottest Design Trend Now 6670922 📰 L 02 Mm 00002 M L 10 M T 50C 2498097 📰 Whats That Tune Use The Best Music Identifier Online To Reveal It Fast 5924092