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The worksheet instructs expanding every given product using the box method, and it includes an answer key listing the resulting expanded polynomial forms. Students practice distributing terms carefully and combining like terms to obtain fourth-degree, third-degree, and second-degree coefficients 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(-9x2+9x)(-1x2+9x-4)\u003Cbr>\u003Cbr>3) (9x2+3x-3)(-4x2+6x-2) 4) (5x2-6x-3)(-4x2-2x)\u003Cbr>\u003Cbr>5) (8x2-7x+9)(-4x2+6x) 6) (-8x2-9x)(-1x2+8x)\u003Cbr>\u003Cbr>7) (5x2-5x-4)(-8x2+7x-3) 8) (-6x2-8x)(-5x2-3x)\u003Cbr>\u003Cbr>9) (6x2-5x+2)(5x2-9x+3) 10) (8x2-6x+9)(7x2+3x)\u003Cbr>|  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10. |  |  | Answers |  |  |  |  |  |  |  |\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 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nExpanding Polynomials Using the Box Method  \nName: Answer Key  \n\n| Expand each problem using the box method. |  |  |  |  |  |  |  |  |  | Answers |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) (-5x2-1x+4)(-6x2-1x)\u003Cbr>-5x2 -1x 4 |  |  | 2) (-9x2+9x)(-1x2+9x-4)\u003Cbr>-9x2 9x |  |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4. |  |  | 30x4+11x3-23x2-4x |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | 9x4-90x3+117x2-36x |  |  |  |  |  |  |  |\n| -6x2 -1x |  | 30x4 6x3 -24x2 5x3 1x2 -4x | -1x2 9x-4 |  | 9x4 -9x3 -81x3 81x2 36x2 -36x |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | -36x4+42x3+12x2-24x+6 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | -20x4+14x3+24x2+6x |  |  |  |  |  |  |  |\n| 3) (9x2+3x-3)(-4x2+6x-2) |  |  | 4) (5x2-6x-3)(-4x2-2x) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9x2 3x -3 |  |  | 5x2 -6x -3\u003Cbr>-4x2 -20x4\u003Cbr>-2x -10x3\u003Cbr>24x3 12x2\u003Cbr>12x2\u003Cbr>6x\u003Cbr>\u003Cbr>6) (-8x2-9x)(-1x2+8x) |  |  |  | 5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8. |  |  | -32x4+76x3-78x2+54x |  |  |  |  |  |  |  |\n| -4x2 6x-2 |  | -36x4 -12x3 12x2 54x3 18x2 -18x -18x2 -6x 6 |  |  |  |  |  |  |  | 8x4-55x3-72x2 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | -40x4+75x3-18x2-13x+12 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | 30x4+58x3+24x2 |  |  |  |  |  |  |  |\n| 5) (8x2-7x+9)(-4x2+6x) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 8x2 -7x 9 |  |  | -8x2 -9x |  |  |  | 9.\u003Cbr>10. |  |  | 30x4-79x3+73x2-33x+6 |  |  |  |  |  |  |  |\n| -4x2 6x\u003Cbr>-32x4 28x3 -36x2 48x3 -42x2 54x |  |  | -1x2 8x |  | 8x4 9x3 -64x3 -72x2 |  |  |  |  | 56x4-18x3+45x2+27x |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) (5x2-5x-4)(-8x2+7x-3) |  |  | 8) (-6x2-8x)(-5x2-3x) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 5x2 -5x -4\u003Cbr>-8x2 -40x4 40x3 32x2 7x 35x3 -35x2 -28x\u003Cbr>-3 -15x2 15x 12\u003Cbr>\u003Cbr>9) (6x2-5x+2)(5x2-9x+3) |  |  | -6x2 -8x |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  | -5x2 -3x |  | 30x4 40x3 18x3 24x2 |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  | 10) (8x2-6x+9)(7x2+3x) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 6x2 -5x 2 |  |  | 7x2\u003Cbr>3x | 8x2 -6x 9\u003Cbr>56x4 -42x3 63x2 24x3 -18x2 27x |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 5x2 -9x 3 | 30x4 -25x3 10x2 -54x3 45x2 -18x 18x2 -15x 6 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  |  |  |  | 90 |  | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nExpanding Polynomials Using the Box Method  \nName:  \n\n| Expand each problem using the box method. | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |\n| --- | ","cbCaivARoslf6hGw","https://ap.wps.com/l/cbCaivARoslf6hGw","pdf",53310,"English","# Problems\n## Expand each product using the box method\n# Answers\n## Answer key for problems 1-10","[{\"question\":\"What does the worksheet ask you to do for each item?\",\"answer\":\"Expand each given product of polynomials using the box method and simplify by combining like terms.\"},{\"question\":\"How many problems are included in the practice set?\",\"answer\":\"There are 10 problems, labeled 1 through 10.\"},{\"question\":\"What section is provided for checking work?\",\"answer\":\"An “Answer Key” section provides the expanded polynomial results for the problems.\"}]","Expanding Polynomials Using the Box Method - Answer Key | PDF"]