{"id":299,"date":"2015-09-18T20:43:59","date_gmt":"2015-09-18T20:43:59","guid":{"rendered":"https:\/\/courses.candelalearning.com\/collegealgebra1xmaster\/?post_type=chapter&p=299"},"modified":"2015-11-03T22:09:26","modified_gmt":"2015-11-03T22:09:26","slug":"solutions-4","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/chapter\/solutions-4\/","title":{"raw":"Solutions","rendered":"Solutions"},"content":{"raw":"

Solutions to Try Its<\/h2>\r\n1.\u00a0The degree is 6, the leading term is [latex]-{x}^{6}[\/latex], and the leading coefficient is [latex]-1[\/latex].\r\n\r\n2.\u00a0[latex]2{x}^{3}+7{x}^{2}-4x - 3[\/latex]\r\n\r\n3.\u00a0[latex]-11{x}^{3}-{x}^{2}+7x - 9[\/latex]\r\n\r\n4.\u00a0[latex]3{x}^{4}-10{x}^{3}-8{x}^{2}+21x+14[\/latex]\r\n\r\n5.\u00a0[latex]3{x}^{2}+16x - 35[\/latex]\r\n\r\n6.\u00a0[latex]16{x}^{2}-8x+1[\/latex]\r\n\r\n7.\u00a0[latex]4{x}^{2}-49[\/latex]\r\n\r\n8.\u00a0[latex]6{x}^{2}+21xy - 29x - 7y+9[\/latex]\r\n

Solutions to Odd-Numbered Exercises<\/h2>\r\n1.\u00a0The statement is true. In standard form, the polynomial with the highest value exponent is placed first and is the leading term. The degree of a polynomial is the value of the highest exponent, which in standard form is also the exponent of the leading term.\r\n\r\n3.\u00a0Use the distributive property, multiply, combine like terms, and simplify.\r\n\r\n5.\u00a02\r\n\r\n7.\u00a08\r\n\r\n9.\u00a02\r\n\r\n11.\u00a0[latex]4{x}^{2}+3x+19[\/latex]\r\n\r\n13.\u00a0[latex]3{w}^{2}+30w+21[\/latex]\r\n\r\n15.\u00a0[latex]11{b}^{4}-9{b}^{3}+12{b}^{2}-7b+8[\/latex]\r\n\r\n17.\u00a0[latex]24{x}^{2}-4x - 8[\/latex]\r\n\r\n19.\u00a0[latex]24{b}^{4}-48{b}^{2}+24[\/latex]\r\n\r\n21.\u00a0[latex]99{v}^{2}-202v+99[\/latex]\r\n\r\n23.\u00a0[latex]8{n}^{3}-4{n}^{2}+72n - 36[\/latex]\r\n\r\n25.\u00a0[latex]9{y}^{2}-42y+49[\/latex]\r\n\r\n27.\u00a0[latex]16{p}^{2}+72p+81[\/latex]\r\n\r\n29.\u00a0[latex]9{y}^{2}-36y+36[\/latex]\r\n\r\n31.\u00a0[latex]16{c}^{2}-1[\/latex]\r\n\r\n33.\u00a0[latex]225{n}^{2}-36[\/latex]\r\n\r\n35.\u00a0[latex]-16{m}^{2}+16[\/latex]\r\n\r\n37.\u00a0[latex]121{q}^{2}-100[\/latex]\r\n\r\n39.\u00a0[latex]16{t}^{4}+4{t}^{3}-32{t}^{2}-t+7[\/latex]\r\n\r\n41.\u00a0[latex]{y}^{3}-6{y}^{2}-y+18[\/latex]\r\n\r\n43.\u00a0[latex]3{p}^{3}-{p}^{2}-12p+10[\/latex]\r\n\r\n45.\u00a0[latex]{a}^{2}-{b}^{2}[\/latex]\r\n\r\n47.\u00a0[latex]16{t}^{2}-40tu+25{u}^{2}[\/latex]\r\n\r\n49.\u00a0[latex]4{t}^{2}+{x}^{2}+4t - 5tx-x[\/latex]\r\n\r\n51.\u00a0[latex]24{r}^{2}+22rd - 7{d}^{2}[\/latex]\r\n\r\n53.\u00a0[latex]32{x}^{2}-4x - 3[\/latex] m2<\/sup>\r\n\r\n55.\u00a0[latex]32{t}^{3}-100{t}^{2}+40t+38[\/latex]\r\n\r\n57.\u00a0[latex]{a}^{4}+4{a}^{3}c - 16a{c}^{3}-16{c}^{4}[\/latex]","rendered":"

Solutions to Try Its<\/h2>\n

1.\u00a0The degree is 6, the leading term is [latex]-{x}^{6}[\/latex], and the leading coefficient is [latex]-1[\/latex].<\/p>\n

2.\u00a0[latex]2{x}^{3}+7{x}^{2}-4x - 3[\/latex]<\/p>\n

3.\u00a0[latex]-11{x}^{3}-{x}^{2}+7x - 9[\/latex]<\/p>\n

4.\u00a0[latex]3{x}^{4}-10{x}^{3}-8{x}^{2}+21x+14[\/latex]<\/p>\n

5.\u00a0[latex]3{x}^{2}+16x - 35[\/latex]<\/p>\n

6.\u00a0[latex]16{x}^{2}-8x+1[\/latex]<\/p>\n

7.\u00a0[latex]4{x}^{2}-49[\/latex]<\/p>\n

8.\u00a0[latex]6{x}^{2}+21xy - 29x - 7y+9[\/latex]<\/p>\n

Solutions to Odd-Numbered Exercises<\/h2>\n

1.\u00a0The statement is true. In standard form, the polynomial with the highest value exponent is placed first and is the leading term. The degree of a polynomial is the value of the highest exponent, which in standard form is also the exponent of the leading term.<\/p>\n

3.\u00a0Use the distributive property, multiply, combine like terms, and simplify.<\/p>\n

5.\u00a02<\/p>\n

7.\u00a08<\/p>\n

9.\u00a02<\/p>\n

11.\u00a0[latex]4{x}^{2}+3x+19[\/latex]<\/p>\n

13.\u00a0[latex]3{w}^{2}+30w+21[\/latex]<\/p>\n

15.\u00a0[latex]11{b}^{4}-9{b}^{3}+12{b}^{2}-7b+8[\/latex]<\/p>\n

17.\u00a0[latex]24{x}^{2}-4x - 8[\/latex]<\/p>\n

19.\u00a0[latex]24{b}^{4}-48{b}^{2}+24[\/latex]<\/p>\n

21.\u00a0[latex]99{v}^{2}-202v+99[\/latex]<\/p>\n

23.\u00a0[latex]8{n}^{3}-4{n}^{2}+72n - 36[\/latex]<\/p>\n

25.\u00a0[latex]9{y}^{2}-42y+49[\/latex]<\/p>\n

27.\u00a0[latex]16{p}^{2}+72p+81[\/latex]<\/p>\n

29.\u00a0[latex]9{y}^{2}-36y+36[\/latex]<\/p>\n

31.\u00a0[latex]16{c}^{2}-1[\/latex]<\/p>\n

33.\u00a0[latex]225{n}^{2}-36[\/latex]<\/p>\n

35.\u00a0[latex]-16{m}^{2}+16[\/latex]<\/p>\n

37.\u00a0[latex]121{q}^{2}-100[\/latex]<\/p>\n

39.\u00a0[latex]16{t}^{4}+4{t}^{3}-32{t}^{2}-t+7[\/latex]<\/p>\n

41.\u00a0[latex]{y}^{3}-6{y}^{2}-y+18[\/latex]<\/p>\n

43.\u00a0[latex]3{p}^{3}-{p}^{2}-12p+10[\/latex]<\/p>\n

45.\u00a0[latex]{a}^{2}-{b}^{2}[\/latex]<\/p>\n

47.\u00a0[latex]16{t}^{2}-40tu+25{u}^{2}[\/latex]<\/p>\n

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

51.\u00a0[latex]24{r}^{2}+22rd - 7{d}^{2}[\/latex]<\/p>\n

53.\u00a0[latex]32{x}^{2}-4x - 3[\/latex] m2<\/sup><\/p>\n

55.\u00a0[latex]32{t}^{3}-100{t}^{2}+40t+38[\/latex]<\/p>\n

57.\u00a0[latex]{a}^{4}+4{a}^{3}c - 16a{c}^{3}-16{c}^{4}[\/latex]<\/p>\n\n\t\t\t

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