[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-467209-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-467209-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","factoring-expressions-factor-each-expression-completely","Factoring Expressions - Factor each expression completely","","Worksheet on factoring algebraic expressions, asking students to factor each provided expression completely across multiple numbered problems. Each item is written in polynomial form using variables (b, c, d, e, f, g, h, i, j, k) with coefficients and signs, followed by an equals line to indicate the target factored form. 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~~ ~~1016~~ ~~ =  \u003Cbr>2)  3   6   c + =\u003Cbr>18 42  \u003Cbr>3) 4 4\u003Cbr>-  18  d -  45  =  \u003Cbr>4)  12   3  \u003Cbr>- e + =\u003Cbr>45 81  \u003Cbr>5) ~~ ~~1630~~ ~~ f + ~~ ~~2025~~ ~~ =  \u003Cbr>6)  8   12  \u003Cbr>35 g - 35 =  \u003Cbr>7)  3   6  \u003Cbr>- 42 h + 56 =  \u003Cbr>8) 4 12\u003Cbr>~~ ~~ i - ~~ ~~ = \u003Cbr>20 20  \u003Cbr>9)  3   21  \u003Cbr>- j + =\u003Cbr>72 45  \u003Cbr>10) ~~ ~~1536~~ ~~ k + ~~ ~~2124~~ ~~ =   |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10. |  | Answers\u003Cbr>|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9)[ 9](Math www.CommonCoreSheets.com 9)  \nFactoring Expressions  \nName: Answer Key  \n\n| Factor each expression completely.\u003Cbr>1) ~~ ~~224~~ ~~ b - ~~ ~~1016~~ ~~ = ~~ ~~28~~ ~~(~~ ~~13~~ ~~ b - ~~ ~~52~~ ~~) |  |  | 1.\u003Cbr>2. | Answers\u003Cbr>~~ ~~28~~ ~~(~~ ~~13~~ ~~ b\u003Cbr>- ~~ ~~52~~ ~~) |\n| --- | --- | --- | --- | --- |\n|  |  |  |  | ~~ ~~36~~ ~~(~~ ~~13~~ ~~ c + ~~ ~~27~~ ~~) |\n|  |  |  |  |  |\n| 2) | 3 ~~ ~~ c 18 | + ~~ ~~642~~ ~~ = ~~ ~~36~~ ~~(~~ ~~13~~ ~~ c + ~~ ~~27~~ ~~) | 3.\u003Cbr>4. | - ~~ ~~49~~ ~~(~~ ~~12~~ ~~ d + ~~ ~~15~~ ~~) |\n|  |  |  |  | - ~~ ~~39~~ ~~(~~ ~~45~~ ~~ e\u003Cbr>- ~~ ~~19~~ ~~) |\n|  |  |  |  |  |\n| 3) | 4\u003Cbr>18 | d - ~~ ~~445~~ ~~ =  - ~~ ~~49~~ ~~(~~ ~~12~~ ~~ d + ~~ ~~15~~ ~~) | 5.\u003Cbr>6. | ~~ ~~45~~ ~~(~~ ~~46~~ ~~ f + ~~ ~~55~~ ~~) |\n|  |  |  |  | ~~ ~~435~~ ~~(~~ ~~21~~ ~~ g\u003Cbr>- ~~ ~~31~~ ~~) |\n|  |  |  |  |  |\n| 4) |  12\u003Cbr>-\u003Cbr>45 | e + ~~ ~~381~~ ~~ = - ~~ ~~39~~ ~~(~~ ~~45~~ ~~ e\u003Cbr>- ~~ ~~19~~ ~~) | 7. | - ~~ ~~134~~ ~~(~~ ~~13~~ ~~ h\u003Cbr>- ~~ ~~24~~ ~~) |\n|  |  |  |  |  |\n| 5) |  16  f\u003Cbr>30 | + ~~ ~~2025~~ ~~ = ~~ ~~45~~ ~~(~~ ~~46~~ ~~ f + ~~ ~~55~~ ~~) | 8.\u003Cbr>9.\u003Cbr>10. | ~~ ~~420~~ ~~(~~ ~~11~~ ~~ i\u003Cbr>- ~~ ~~31~~ ~~) |\n|  |  |  |  | - ~~ ~~39~~ ~~(~~ ~~18~~ ~~ j\u003Cbr>- ~~ ~~75~~ ~~) |\n|  |  |  |  | ~~ ~~132~~ ~~(~~ ~~53~~ ~~ k + ~~ ~~72~~ ~~) |\n| 6) | ~~ ~~835~~ ~~ g | - ~~ ~~1235~~ ~~ = ~~ ~~435~~ ~~(~~ ~~21~~ ~~ g - ~~ ~~31~~ ~~) |  |  |\n| 7) | -\u003Cbr> 3 \u003Cbr>42 | h + ~~ ~~656~~ ~~ =  - ~~ ~~134~~ ~~(~~ ~~13~~ ~~ h - ~~ ~~24~~ ~~) |  |  |\n| 8) |  4  i\u003Cbr>20 | - ~~ ~~1220~~ ~~ = ~~ ~~420~~ ~~(~~ ~~11~~ ~~ i - ~~ ~~31~~ ~~) |  |  |\n| 9) | -\u003Cbr> 3 \u003Cbr>72 | j + ~~ ~~2145~~ ~~ =  - ~~ ~~39~~ ~~(~~ ~~18~~ ~~ j - ~~ ~~75~~ ~~) |  |  |\n| 10) |  15  k\u003Cbr>36 | + ~~ ~~2124~~ ~~ = ~~ ~~132~~ ~~(~~ ~~53~~ ~~ k + ~~ ~~72~~ ~~) |  |  |\n\n[Math](Math www.CommonCoreSheets.com 9 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9 1-10)[ 9](Math www.CommonCoreSheets.com 9 1-10)[ 1-10](Math www.CommonCoreSheets.com 9 1-10) 90 80 70 60 50 40 30 20 10 0  \n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\nFactoring Expressions  \nName:  \n\n| Factor each expression completely.\u003Cbr>1) ~~ ~~224~~ ~~ b - ~~ ~~1016~~ ~~ =  \u003Cbr>2)  3   6   c + =\u003Cbr>18 42  \u003Cbr>3) 4 4\u003Cbr>-  18  d -  45  =  \u003Cbr>4) - ~~ ~~1245~~ ~~ e + ~~ ~~381~~ ~~ =  \u003Cbr>5) ~~ ~~1630~~ ~~ f + ~~ ~~2025~~ ~~ =  \u003Cbr>6)  8   12  \u003Cbr>35 g - 35 =  \u003Cbr>7) - ~~ ~~342~~ ~~ h + ~~ ~~656~~ ~~ =   | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7. |  | Answers\u003Cbr>|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 1-7 |  | 86 |  ","cbCainQNaT5F2MLZ","https://ap.wps.com/l/cbCainQNaT5F2MLZ","pdf",50724,"English","# Factor each expression completely\n## Problems 1-10\n## Answers","[{\"question\":\"What does the worksheet ask students to do?\",\"answer\":\"Students must factor each given algebraic expression completely.\"},{\"question\":\"How are the problems organized?\",\"answer\":\"The worksheet lists multiple numbered problems, with each one using a different variable and polynomial structure.\"},{\"question\":\"Is there an answer key included?\",\"answer\":\"Yes. An answer key section provides the fully factored forms for the problems so students can check their work.\"}]","Factoring Expressions - Factor each expression completely | PDF",1790772493]