{"id":142,"date":"2024-10-16T18:42:00","date_gmt":"2024-10-16T18:42:00","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/?post_type=chapter&p=142"},"modified":"2024-10-21T13:50:50","modified_gmt":"2024-10-21T13:50:50","slug":"polynomial-and-rational-expressions-get-stronger-answer-key","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/chapter\/polynomial-and-rational-expressions-get-stronger-answer-key\/","title":{"raw":"Polynomial and Rational Expressions: Get Stronger Answer Key","rendered":"Polynomial and Rational Expressions: Get Stronger Answer Key"},"content":{"raw":"

Polynomial Basics<\/span><\/h2>\r\n
    \r\n \t
  1. [latex] 2 [\/latex]<\/li>\r\n \t
  2. [latex] 8 [\/latex]<\/li>\r\n \t
  3. [latex] 2 [\/latex]<\/li>\r\n \t
  4. [latex] 4x^2 + 3x + 19 [\/latex]<\/li>\r\n \t
  5. [latex] 3w^2 + 30w + 21 [\/latex]<\/li>\r\n \t
  6. [latex] 11b^4 - 9b^3 + 12b^2 - 7b + 8 [\/latex]<\/li>\r\n \t
  7. [latex] 24x^2 - 4x - 8 [\/latex]<\/li>\r\n \t
  8. [latex] 24b^4 - 48b^2 + 24 [\/latex]<\/li>\r\n \t
  9. [latex] 99v^2 - 202v + 99 [\/latex]<\/li>\r\n \t
  10. [latex] 8n^3 - 4n^2 + 72n - 36 [\/latex]<\/li>\r\n \t
  11. [latex] 9y^2 - 42y + 49 [\/latex]<\/li>\r\n \t
  12. [latex] 16p^2 + 72p + 81 [\/latex]<\/li>\r\n \t
  13. [latex] 9y^2 - 36y + 36 [\/latex]<\/li>\r\n \t
  14. [latex] 16c^2 - 1 [\/latex]<\/li>\r\n \t
  15. [latex] 225m^2 - 36 [\/latex]<\/li>\r\n \t
  16. [latex] -16m^2 + 16 [\/latex]<\/li>\r\n \t
  17. [latex] 121q^2 - 100 [\/latex]<\/li>\r\n \t
  18. [latex] 16t^4 + 4t^3 - 32t^2 - t + 7 [\/latex]<\/li>\r\n \t
  19. [latex] y^3 - 6y^2 - y + 18 [\/latex]<\/li>\r\n \t
  20. [latex] 3p^3 - p^2 - 12p + 10 [\/latex]<\/li>\r\n \t
  21. [latex] a^2 - b^2 [\/latex]<\/li>\r\n \t
  22. [latex] 16t^2 - 40tu + 25u^2 [\/latex]<\/li>\r\n \t
  23. [latex] 4t^2 + x^2 + 4t - 5tx - x [\/latex]<\/li>\r\n \t
  24. [latex] 24r^2 + 22rd - 7d^2 [\/latex]<\/li>\r\n<\/ol>\r\n

    Factoring Polynomials<\/span><\/h2>\r\n
      \r\n \t
    1. [latex] 7m [\/latex]<\/li>\r\n \t
    2. [latex] 10m^3 [\/latex]<\/li>\r\n \t
    3. [latex] y [\/latex]<\/li>\r\n \t
    4. [latex] (2a - 3)(a + 6) [\/latex]<\/li>\r\n \t
    5. [latex] (3n - 11)(2n + 1) [\/latex]<\/li>\r\n \t
    6. [latex] (p + 1)(2p - 7) [\/latex]<\/li>\r\n \t
    7. [latex] (5h + 3)(2h - 3) [\/latex]<\/li>\r\n \t
    8. [latex] (9d - 1)(d - 8) [\/latex]<\/li>\r\n \t
    9. [latex] (12t + 13)(t - 1) [\/latex]<\/li>\r\n \t
    10. [latex] (4x + 10)(4x - 10) [\/latex]<\/li>\r\n \t
    11. [latex] (11p + 13)(11p - 13) [\/latex]<\/li>\r\n \t
    12. [latex] (19d + 9)(19d - 9) [\/latex]<\/li>\r\n \t
    13. [latex] (12b + 5c)(12b - 5c) [\/latex]<\/li>\r\n \t
    14. [latex] (7n + 12)^2 [\/latex]<\/li>\r\n \t
    15. [latex] (15y + 4)^2 [\/latex]<\/li>\r\n \t
    16. [latex] (5p - 12)^2 [\/latex]<\/li>\r\n \t
    17. [latex] (x + 6)(x^2 - 6x + 36) [\/latex]<\/li>\r\n \t
    18. [latex] (5a + 7)(25a^2 - 35a + 49) [\/latex]<\/li>\r\n \t
    19. [latex] (4x - 5)(16x^2 + 20x + 25) [\/latex]<\/li>\r\n \t
    20. [latex] (5r + 12s)(25r^2 - 60rs + 144s^2) [\/latex]<\/li>\r\n \t
    21. [latex] (2c + 3)^{-\\frac{1}{4}} - (7c - 15) [\/latex]<\/li>\r\n \t
    22. [latex] (x + 2)^{-\\frac{2}{5}}(19x + 10) [\/latex]<\/li>\r\n \t
    23. [latex] (2z - 9)^{-\\frac{3}{2}}(27z - 99) [\/latex]<\/li>\r\n \t
    24. [latex] (14x - 3)(7x + 9) [\/latex]<\/li>\r\n \t
    25. [latex] [\/latex]<\/li>\r\n \t
    26. [latex] (3x + 5)(3x - 5) [\/latex]<\/li>\r\n<\/ol>\r\n

      Rational Expressions<\/span><\/h2>\r\n
        \r\n \t
      1. [latex] \\frac{y + 5}{3y + 6} [\/latex]<\/li>\r\n \t
      2. [latex] 3b + 3 [\/latex]<\/li>\r\n \t
      3. [latex] \\frac{x + 4}{2x + 2} [\/latex]<\/li>\r\n \t
      4. [latex] \\frac{a + 3}{a - 3} [\/latex]<\/li>\r\n \t
      5. [latex] \\frac{3n - 8}{7n - 3} [\/latex]<\/li>\r\n \t
      6. [latex] \\frac{c - 6}{c + 6} [\/latex]<\/li>\r\n \t
      7. [latex] 1 [\/latex]<\/li>\r\n \t
      8. [latex] \\frac{d^2 - 25}{25d^2 - 1} [\/latex]<\/li>\r\n \t
      9. [latex] \\frac{t + 5}{t + 3} [\/latex]<\/li>\r\n \t
      10. [latex] \\frac{6x - 5}{6x + 5} [\/latex]<\/li>\r\n \t
      11. [latex] \\frac{p + 6}{4p + 3} [\/latex]<\/li>\r\n \t
      12. [latex] \\frac{2d + 9}{d + 11} [\/latex]<\/li>\r\n \t
      13. [latex] \\frac{12b + 5}{3b - 1} [\/latex]<\/li>\r\n \t
      14. [latex] \\frac{4y - 1}{y + 4} [\/latex]<\/li>\r\n \t
      15. [latex] \\frac{10x + 4y}{xy} [\/latex]<\/li>\r\n \t
      16. [latex] \\frac{9a - 7}{a^2 - 2a - 3} [\/latex]<\/li>\r\n \t
      17. [latex] \\frac{2y^2 - y + 9}{y^2 - y - 2} [\/latex]<\/li>\r\n \t
      18. [latex] \\frac{5z^2 + 2z}{z^2 - 2} [\/latex]<\/li>\r\n \t
      19. [latex] \\frac{x + 2y}{x + 2xy + y} [\/latex]<\/li>\r\n \t
      20. [latex] \\frac{2b + 7a}{18 + ab} [\/latex]<\/li>\r\n \t
      21. [latex] \\frac{ab}{4b} [\/latex]<\/li>\r\n \t
      22. [latex] \\frac{a - b}{4b} [\/latex]<\/li>\r\n \t
      23. [latex] \\frac{3c^2 + 3c - 2}{2c^2 + 5c + 2} [\/latex]<\/li>\r\n \t
      24. [latex] \\frac{15x + 7}{x - 1} [\/latex]<\/li>\r\n \t
      25. [latex] \\frac{x + 9}{x - 9} [\/latex]<\/li>\r\n<\/ol>","rendered":"

        Polynomial Basics<\/span><\/h2>\n
          \n
        1. [latex]2[\/latex]<\/li>\n
        2. [latex]8[\/latex]<\/li>\n
        3. [latex]2[\/latex]<\/li>\n
        4. [latex]4x^2 + 3x + 19[\/latex]<\/li>\n
        5. [latex]3w^2 + 30w + 21[\/latex]<\/li>\n
        6. [latex]11b^4 - 9b^3 + 12b^2 - 7b + 8[\/latex]<\/li>\n
        7. [latex]24x^2 - 4x - 8[\/latex]<\/li>\n
        8. [latex]24b^4 - 48b^2 + 24[\/latex]<\/li>\n
        9. [latex]99v^2 - 202v + 99[\/latex]<\/li>\n
        10. [latex]8n^3 - 4n^2 + 72n - 36[\/latex]<\/li>\n
        11. [latex]9y^2 - 42y + 49[\/latex]<\/li>\n
        12. [latex]16p^2 + 72p + 81[\/latex]<\/li>\n
        13. [latex]9y^2 - 36y + 36[\/latex]<\/li>\n
        14. [latex]16c^2 - 1[\/latex]<\/li>\n
        15. [latex]225m^2 - 36[\/latex]<\/li>\n
        16. [latex]-16m^2 + 16[\/latex]<\/li>\n
        17. [latex]121q^2 - 100[\/latex]<\/li>\n
        18. [latex]16t^4 + 4t^3 - 32t^2 - t + 7[\/latex]<\/li>\n
        19. [latex]y^3 - 6y^2 - y + 18[\/latex]<\/li>\n
        20. [latex]3p^3 - p^2 - 12p + 10[\/latex]<\/li>\n
        21. [latex]a^2 - b^2[\/latex]<\/li>\n
        22. [latex]16t^2 - 40tu + 25u^2[\/latex]<\/li>\n
        23. [latex]4t^2 + x^2 + 4t - 5tx - x[\/latex]<\/li>\n
        24. [latex]24r^2 + 22rd - 7d^2[\/latex]<\/li>\n<\/ol>\n

          Factoring Polynomials<\/span><\/h2>\n
            \n
          1. [latex]7m[\/latex]<\/li>\n
          2. [latex]10m^3[\/latex]<\/li>\n
          3. [latex]y[\/latex]<\/li>\n
          4. [latex](2a - 3)(a + 6)[\/latex]<\/li>\n
          5. [latex](3n - 11)(2n + 1)[\/latex]<\/li>\n
          6. [latex](p + 1)(2p - 7)[\/latex]<\/li>\n
          7. [latex](5h + 3)(2h - 3)[\/latex]<\/li>\n
          8. [latex](9d - 1)(d - 8)[\/latex]<\/li>\n
          9. [latex](12t + 13)(t - 1)[\/latex]<\/li>\n
          10. [latex](4x + 10)(4x - 10)[\/latex]<\/li>\n
          11. [latex](11p + 13)(11p - 13)[\/latex]<\/li>\n
          12. [latex](19d + 9)(19d - 9)[\/latex]<\/li>\n
          13. [latex](12b + 5c)(12b - 5c)[\/latex]<\/li>\n
          14. [latex](7n + 12)^2[\/latex]<\/li>\n
          15. [latex](15y + 4)^2[\/latex]<\/li>\n
          16. [latex](5p - 12)^2[\/latex]<\/li>\n
          17. [latex](x + 6)(x^2 - 6x + 36)[\/latex]<\/li>\n
          18. [latex](5a + 7)(25a^2 - 35a + 49)[\/latex]<\/li>\n
          19. [latex](4x - 5)(16x^2 + 20x + 25)[\/latex]<\/li>\n
          20. [latex](5r + 12s)(25r^2 - 60rs + 144s^2)[\/latex]<\/li>\n
          21. [latex](2c + 3)^{-\\frac{1}{4}} - (7c - 15)[\/latex]<\/li>\n
          22. [latex](x + 2)^{-\\frac{2}{5}}(19x + 10)[\/latex]<\/li>\n
          23. [latex](2z - 9)^{-\\frac{3}{2}}(27z - 99)[\/latex]<\/li>\n
          24. [latex](14x - 3)(7x + 9)[\/latex]<\/li>\n
          25. [latex][\/latex]<\/li>\n
          26. [latex](3x + 5)(3x - 5)[\/latex]<\/li>\n<\/ol>\n

            Rational Expressions<\/span><\/h2>\n
              \n
            1. [latex]\\frac{y + 5}{3y + 6}[\/latex]<\/li>\n
            2. [latex]3b + 3[\/latex]<\/li>\n
            3. [latex]\\frac{x + 4}{2x + 2}[\/latex]<\/li>\n
            4. [latex]\\frac{a + 3}{a - 3}[\/latex]<\/li>\n
            5. [latex]\\frac{3n - 8}{7n - 3}[\/latex]<\/li>\n
            6. [latex]\\frac{c - 6}{c + 6}[\/latex]<\/li>\n
            7. [latex]1[\/latex]<\/li>\n
            8. [latex]\\frac{d^2 - 25}{25d^2 - 1}[\/latex]<\/li>\n
            9. [latex]\\frac{t + 5}{t + 3}[\/latex]<\/li>\n
            10. [latex]\\frac{6x - 5}{6x + 5}[\/latex]<\/li>\n
            11. [latex]\\frac{p + 6}{4p + 3}[\/latex]<\/li>\n
            12. [latex]\\frac{2d + 9}{d + 11}[\/latex]<\/li>\n
            13. [latex]\\frac{12b + 5}{3b - 1}[\/latex]<\/li>\n
            14. [latex]\\frac{4y - 1}{y + 4}[\/latex]<\/li>\n
            15. [latex]\\frac{10x + 4y}{xy}[\/latex]<\/li>\n
            16. [latex]\\frac{9a - 7}{a^2 - 2a - 3}[\/latex]<\/li>\n
            17. [latex]\\frac{2y^2 - y + 9}{y^2 - y - 2}[\/latex]<\/li>\n
            18. [latex]\\frac{5z^2 + 2z}{z^2 - 2}[\/latex]<\/li>\n
            19. [latex]\\frac{x + 2y}{x + 2xy + y}[\/latex]<\/li>\n
            20. [latex]\\frac{2b + 7a}{18 + ab}[\/latex]<\/li>\n
            21. [latex]\\frac{ab}{4b}[\/latex]<\/li>\n
            22. [latex]\\frac{a - b}{4b}[\/latex]<\/li>\n
            23. [latex]\\frac{3c^2 + 3c - 2}{2c^2 + 5c + 2}[\/latex]<\/li>\n
            24. [latex]\\frac{15x + 7}{x - 1}[\/latex]<\/li>\n
            25. [latex]\\frac{x + 9}{x - 9}[\/latex]<\/li>\n<\/ol>\n","protected":false},"author":15,"menu_order":24,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":32,"module-header":"- Select Header -","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters\/142"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":1,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters\/142\/revisions"}],"predecessor-version":[{"id":150,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters\/142\/revisions\/150"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/parts\/32"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters\/142\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/media?parent=142"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapter-type?post=142"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/contributor?post=142"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/license?post=142"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}