{"id":1375,"date":"2015-11-12T18:35:30","date_gmt":"2015-11-12T18:35:30","guid":{"rendered":"https:\/\/courses.candelalearning.com\/collegealgebra1xmaster\/?post_type=chapter&p=1375"},"modified":"2015-11-12T18:35:30","modified_gmt":"2015-11-12T18:35:30","slug":"solutions-41","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/atd-sanjac-collegealgebra\/chapter\/solutions-41\/","title":{"raw":"Solutions","rendered":"Solutions"},"content":{"raw":"

Solutions to Try Its<\/h2>\n1.\u00a0[latex]4{x}^{2}-8x+15-\\frac{78}{4x+5}\\\\[\/latex]\n\n2.\u00a0[latex]3{x}^{3}-3{x}^{2}+21x - 150+\\frac{1,090}{x+7}\\\\[\/latex]\n\n3.\u00a0[latex]3{x}^{2}-4x+1\\\\[\/latex]\n

Solutions to Odd-Numbered Exercises<\/h3>\n1.\u00a0The binomial is a factor of the polynomial.\n\n3.\u00a0[latex]x+6+\\frac{5}{x - 1}\\text{,}\\text{quotient:}x+6\\text{,}\\text{remainder:}\\text{5}\\\\[\/latex]\n\n5.\u00a0[latex]3x+2\\text{,}\\text{ quotient: }3x+2\\text{, }\\text{remainder: 0}\\\\[\/latex]\n\n7.\u00a0[latex]x - 5\\text{,}\\text{quotient: }x - 5\\text{,}\\text{remainder: }\\text{0}\\\\[\/latex]\n\n9.\u00a0[latex]2x - 7+\\frac{16}{x+2}\\text{,}\\text{quotient: }\\text{ }2x - 7\\text{,}\\text{remainder: }\\text{16}\\\\[\/latex]\n\n11.\u00a0[latex]x - 2+\\frac{6}{3x+1}\\text{,}\\text{quotient: }x - 2\\text{,}\\text{remainder: }\\text{6}\\\\[\/latex]\n\n13.\u00a0[latex]2{x}^{2}-3x+5\\text{,}\\text{quotient:}2{x}^{2}-3x+5\\text{,}\\text{remainder: }\\text{0}\\\\[\/latex]\n\n15.\u00a0[latex]2{x}^{2}+2x+1+\\frac{10}{x - 4}\\\\[\/latex]\n\n17.\u00a0[latex]2{x}^{2}-7x+1-\\frac{2}{2x+1}\\\\[\/latex]\n\n19.\u00a0[latex]3{x}^{2}-11x+34-\\frac{106}{x+3}\\\\[\/latex]\n\n21.\u00a0[latex]{x}^{2}+5x+1\\\\[\/latex]\n\n23.\u00a0[latex]4{x}^{2}-21x+84-\\frac{323}{x+4}\\\\[\/latex]\n\n25.\u00a0[latex]{x}^{2}-14x+49\\\\[\/latex]\n\n27.\u00a0[latex]3{x}^{2}+x+\\frac{2}{3x - 1}\\\\[\/latex]\n\n29.\u00a0[latex]{x}^{3}-3x+1\\\\[\/latex]\n\n31.\u00a0[latex]{x}^{3}-{x}^{2}+2\\\\[\/latex]\n\n33.\u00a0[latex]{x}^{3}-6{x}^{2}+12x - 8\\\\[\/latex]\n\n35.\u00a0[latex]{x}^{3}-9{x}^{2}+27x - 27\\\\[\/latex]\n\n37.\u00a0[latex]2{x}^{3}-2x+2\\\\[\/latex]\n\n39.\u00a0[latex]\\left(x - 1\\right)\\left({x}^{2}+2x+4\\right)\\\\[\/latex]\n\n41.\u00a0[latex]\\left(x - 5\\right)\\left({x}^{2}+x+1\\right)\\\\[\/latex]\n\n43.\u00a0[latex]\\text{Quotient: }4{x}^{2}+8x+16\\text{,}\\text{remainder: }-1\\\\[\/latex]\n\n45.\u00a0[latex]\\text{Quotient: }3{x}^{2}+3x+5\\text{,}\\text{remainder: }0\\\\[\/latex]\n\n47.\u00a0[latex]\\text{Quotient: }{x}^{3}-2{x}^{2}+4x - 8\\text{,}\\text{remainder: }-6\\\\[\/latex]\n\n49.\u00a0[latex]{x}^{6}-{x}^{5}+{x}^{4}-{x}^{3}+{x}^{2}-x+1\\\\[\/latex]\n\n51.\u00a0[latex]{x}^{3}-{x}^{2}+x - 1+\\frac{1}{x+1}\\\\[\/latex]\n\n53.\u00a0[latex]1+\\frac{1+i}{x-i}\\\\[\/latex]\n\n55.\u00a0[latex]1+\\frac{1-i}{x+i}\\\\[\/latex]\n\n57.\u00a0[latex]{x}^{2}-ix - 1+\\frac{1-i}{x-i}\\\\[\/latex]\n\n59.\u00a0[latex]2{x}^{2}+3\\\\[\/latex]\n\n61.\u00a0[latex]2x+3\\\\[\/latex]\n\n63.\u00a0[latex]x+2\\\\[\/latex]\n\n65.\u00a0[latex]x - 3\\\\[\/latex]\n\n67.\u00a0[latex]3{x}^{2}-2\\\\[\/latex]","rendered":"

Solutions to Try Its<\/h2>\n

1.\u00a0[latex]4{x}^{2}-8x+15-\\frac{78}{4x+5}\\\\[\/latex]<\/p>\n

2.\u00a0[latex]3{x}^{3}-3{x}^{2}+21x - 150+\\frac{1,090}{x+7}\\\\[\/latex]<\/p>\n

3.\u00a0[latex]3{x}^{2}-4x+1\\\\[\/latex]<\/p>\n

Solutions to Odd-Numbered Exercises<\/h3>\n

1.\u00a0The binomial is a factor of the polynomial.<\/p>\n

3.\u00a0[latex]x+6+\\frac{5}{x - 1}\\text{,}\\text{quotient:}x+6\\text{,}\\text{remainder:}\\text{5}\\\\[\/latex]<\/p>\n

5.\u00a0[latex]3x+2\\text{,}\\text{ quotient: }3x+2\\text{, }\\text{remainder: 0}\\\\[\/latex]<\/p>\n

7.\u00a0[latex]x - 5\\text{,}\\text{quotient: }x - 5\\text{,}\\text{remainder: }\\text{0}\\\\[\/latex]<\/p>\n

9.\u00a0[latex]2x - 7+\\frac{16}{x+2}\\text{,}\\text{quotient: }\\text{ }2x - 7\\text{,}\\text{remainder: }\\text{16}\\\\[\/latex]<\/p>\n

11.\u00a0[latex]x - 2+\\frac{6}{3x+1}\\text{,}\\text{quotient: }x - 2\\text{,}\\text{remainder: }\\text{6}\\\\[\/latex]<\/p>\n

13.\u00a0[latex]2{x}^{2}-3x+5\\text{,}\\text{quotient:}2{x}^{2}-3x+5\\text{,}\\text{remainder: }\\text{0}\\\\[\/latex]<\/p>\n

15.\u00a0[latex]2{x}^{2}+2x+1+\\frac{10}{x - 4}\\\\[\/latex]<\/p>\n

17.\u00a0[latex]2{x}^{2}-7x+1-\\frac{2}{2x+1}\\\\[\/latex]<\/p>\n

19.\u00a0[latex]3{x}^{2}-11x+34-\\frac{106}{x+3}\\\\[\/latex]<\/p>\n

21.\u00a0[latex]{x}^{2}+5x+1\\\\[\/latex]<\/p>\n

23.\u00a0[latex]4{x}^{2}-21x+84-\\frac{323}{x+4}\\\\[\/latex]<\/p>\n

25.\u00a0[latex]{x}^{2}-14x+49\\\\[\/latex]<\/p>\n

27.\u00a0[latex]3{x}^{2}+x+\\frac{2}{3x - 1}\\\\[\/latex]<\/p>\n

29.\u00a0[latex]{x}^{3}-3x+1\\\\[\/latex]<\/p>\n

31.\u00a0[latex]{x}^{3}-{x}^{2}+2\\\\[\/latex]<\/p>\n

33.\u00a0[latex]{x}^{3}-6{x}^{2}+12x - 8\\\\[\/latex]<\/p>\n

35.\u00a0[latex]{x}^{3}-9{x}^{2}+27x - 27\\\\[\/latex]<\/p>\n

37.\u00a0[latex]2{x}^{3}-2x+2\\\\[\/latex]<\/p>\n

39.\u00a0[latex]\\left(x - 1\\right)\\left({x}^{2}+2x+4\\right)\\\\[\/latex]<\/p>\n

41.\u00a0[latex]\\left(x - 5\\right)\\left({x}^{2}+x+1\\right)\\\\[\/latex]<\/p>\n

43.\u00a0[latex]\\text{Quotient: }4{x}^{2}+8x+16\\text{,}\\text{remainder: }-1\\\\[\/latex]<\/p>\n

45.\u00a0[latex]\\text{Quotient: }3{x}^{2}+3x+5\\text{,}\\text{remainder: }0\\\\[\/latex]<\/p>\n

47.\u00a0[latex]\\text{Quotient: }{x}^{3}-2{x}^{2}+4x - 8\\text{,}\\text{remainder: }-6\\\\[\/latex]<\/p>\n

49.\u00a0[latex]{x}^{6}-{x}^{5}+{x}^{4}-{x}^{3}+{x}^{2}-x+1\\\\[\/latex]<\/p>\n

51.\u00a0[latex]{x}^{3}-{x}^{2}+x - 1+\\frac{1}{x+1}\\\\[\/latex]<\/p>\n

53.\u00a0[latex]1+\\frac{1+i}{x-i}\\\\[\/latex]<\/p>\n

55.\u00a0[latex]1+\\frac{1-i}{x+i}\\\\[\/latex]<\/p>\n

57.\u00a0[latex]{x}^{2}-ix - 1+\\frac{1-i}{x-i}\\\\[\/latex]<\/p>\n

59.\u00a0[latex]2{x}^{2}+3\\\\[\/latex]<\/p>\n

61.\u00a0[latex]2x+3\\\\[\/latex]<\/p>\n

63.\u00a0[latex]x+2\\\\[\/latex]<\/p>\n

65.\u00a0[latex]x - 3\\\\[\/latex]<\/p>\n

67.\u00a0[latex]3{x}^{2}-2\\\\[\/latex]<\/p>\n\n\t\t\t

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Candela Citations<\/h3>\n\t\t\t\t\t
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