mat221wk5d1 - Week Five Discussion On pages 345-346 and 353...

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Week Five DiscussionOn pages 345-346 and 353 the problems I was assigned were #80, #106, and #68. These were based on the third letter of my last name, a.#80w2+ 30w + 81There is no GCFhere so we have to find two integers that have the sum of 81and the total of 27.Product Sum9x9=81 9+9=1827x3=81 27+3=3027and 3are the only two integers that have a product of 81and a sum of 30..w2+ 3w + 27w + 81Replace 30w with 3x + 27x and factor by groupingw(w+3) + 27(w+3)Factor out w and 27 and now we have a common factor of w+3 (w+27)(w+3)Completely factored, check by multiplying it back together#106ac + xc + aw2 + xw2The four terms means start by groupingc(a+x) + w2(a+x)The common factoris (a+x)(c+w2)(a+x)Notice the squaring in one of the pairs

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