October 27, 2009 Day 3 - The Remainder Theorem Recall long division from middle school!!! Dividend = (divisor)(quotient) + remainder October 27, 2009 Well, you did long division on this too in Pure 10! October 27, 2009 There is a shorthand that exists called synthetic division, of which we will use the subtraction method: October 27, 2009 Try it on this one: October 27, 2009 The remainder theorem: When a polynomial in x is divided by x - k, the remainder is equal to the number obtained by substituting k for x in the polynomial. Determine the remainder when Do the same for: October 27, 2009 When is divided by the remainder is 1. Find k. October 27, 2009 Assignment: Pg. 254 #1-3 odds, 5, 7
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