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Includes a set of expansion questions and corresponding final polynomial results presented alongside structured solution 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(5x2+1x-7)(1x2-2x+9) 2) (1x2-9x)(1x2+2x)\u003Cbr>\u003Cbr>3) (-4x2-8x)(9x2+6x-6) 4) (-6x2-1x)(8x2+3x+1)\u003Cbr>\u003Cbr>5) (-4x2-9x+8)(-4x2-9x-6) 6) (-4x2-8x)(7x2-3x+7)\u003Cbr>\u003Cbr>7) (-9x2-6x+3)(-4x2-4x) 8) (-8x2+4x)(8x2+8x)\u003Cbr>\u003Cbr>9) (5x2-9x+5)(-2x2+5x) 10) (-2x2-8x)(4x2+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 5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5)[ 5](Math www.CommonCoreSheets.com 5)  \nExpanding Polynomials Using the Box Method  \nName: Answer Key  \n\n| Expand each problem using the box method. |  |  |  |  | Answers\u003Cbr>1.  5x4-9x3+36x2+23x-63  2.  x4-7x3-18x2  3.  -36x4-96x3-24x2+48x  4.  -48x4-26x3-9x2-x  5.  16x4+72x3+73x2-18x-48  6.  -28x4-44x3-4x2-56x  7.  36x4+60x3+12x2-12x  8.  -64x4-32x3+32x2 \u003Cbr>9.  -10x4+43x3-55x2+25x \u003Cbr>10.  -8x4-38x3-24x2  |\n| --- | --- | --- | --- | --- | --- |\n| 1) (5x2+1x-7)(1x2-2x+9)\u003Cbr>5x2 1x -7 |  |  | 2) (1x2-9x)(1x2+2x)\u003Cbr>1x2 -9x |  |  |\n| 1x2 -2x 9 | 5x4 1x3 -7x2 -10x3 -2x2 14x 45x2 9x -63 |  | 1x2\u003Cbr>2x | 1x4 -9x3 2x3 -18x2 |  |\n| 3) (-4x2-8x)(9x2+6x-6)\u003Cbr>-4x2 -8x |  |  | 4) (-6x2-1x)(8x2+3x+1)\u003Cbr>-6x2 -1x |  |  |\n| 9x2 6x-6 | -36x4 -72x3 -24x3 -48x2 24x2 48x |  | 8x2 3x 1 | -48x4 -8x3 -18x3 -3x2 -6x2 -1x |  |\n| 5) (-4x2-9x+8)(-4x2-9x-6)\u003Cbr>-4x2 -9x 8 |  |  | 6) (-4x2-8x)(7x2-3x+7)\u003Cbr>-4x2 -8x |  |  |\n| -4x2 -9x-6 |  | 16x4 36x3 -32x2 36x3 81x2 -72x 24x2 54x -48 | 7x2 -3x 7 | -28x4 -56x3 12x3 24x2 -28x2 -56x |  |\n| 7) (-9x2-6x+3)(-4x2-4x)\u003Cbr>-9x2 -6x 3 |  |  | 8) (-8x2+4x)(8x2+8x)\u003Cbr>-8x2 4x |  |  |\n| -4x2 -4x |  | 36x4 24x3 -12x2 36x3 24x2 -12x | 8x2\u003Cbr>8x | -64x4 32x3 -64x3 32x2 |  |\n| 9) (5x2-9x+5)(-2x2+5x)\u003Cbr>5x2 -9x 5 |  |  | 10) (-2x2-8x)(4x2+3x)\u003Cbr>-2x2 -8x |  |  |\n| -2x2 5x |  | -10x4 18x3 -10x2 25x3 -45x2 25x | 4x2\u003Cbr>3x | -8x4 -32x3 -6x3 -24x2 |  |\n\n[Math](Math www.CommonCoreSheets.com 5 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5 1-10)[ 5](Math www.CommonCoreSheets.com 5 1-10)[ 1-10](Math www.CommonCoreSheets.com 5 1-10) 90 80 70 60 50 40 30 20 10 0  \n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\nExpanding Polynomials Using the Box Method  \nName:  \n\n| Expand each problem using the box method. \u003Cbr>16x 4 +72x 3 +73x 2-18x-48-28x 4-44x 3-4x 2-56x 5x 4-9x 3 +36x 2 +23x-63 -36x 4-96x 3-24x 2 +48x -48x 4-26x 3-9x 2-x x 4-7x 3-18x 2\u003Cbr>1) (5x2+1x-7)(1x2-2x+9) 2) (1x2-9x)(1x2+2x)\u003Cbr>\u003Cbr>3) (-4x2-8x)(9x2+6x-6) 4) (-6x2-1x)(8x2+3x+1)\u003Cbr>\u003Cbr>5) (-4x2-9x+8)(-4x2-9x-6) 6) (-4x2-8x)(7x2-3x+7)\u003Cbr>\u003Cbr>| Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-6 |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n5","cbCaiaKXBfUZE4Oy","https://ap.wps.com/l/cbCaiaKXBfUZE4Oy","pdf",52976,"English","# Expand each problem using the box method\n## Answer key","[{\"question\":\"What method is used to expand the polynomials in these problems?\",\"answer\":\"The problems instruct using the box method (area model) to expand each product of algebraic expressions.\"},{\"question\":\"How are the answers presented in the document?\",\"answer\":\"The answer key lists the expanded polynomial results for each numbered problem, combining like terms into a simplified expression.\"},{\"question\":\"What types of expressions do the questions multiply?\",\"answer\":\"Each question multiplies polynomials such as products of binomials or trinomials in x, which then expand into higher-degree polynomials.\"}]","Expanding Polynomials Using the Box Method - Answer Key | PDF",1790772434]