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The worksheet provides multiple factoring prompts where each expression is multiplied term-by-term arranged in a box grid, then combined to form a single simplified polynomial. An answer section supplies the resulting expanded forms for each numbered problem, supporting checking and independent practice of multiplying binomials and trinomials with algebraic like terms.","Expanding Polynomials Using the Box Method  \nName:  \n\n| Expand each problem using the box method.\u003Cbr>1) (-5x2-1x+4)(-6x2-1x) 2) (-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| --- | ","cbCaimmVbjrmFEfi","https://ap.wps.com/l/cbCaimmVbjrmFEfi","pdf",537563,15,"English","en",105,"# Expand each problem using the box method\n## Problem set\n## Answers","[{\"question\":\"What method is used to expand the polynomials in these problems?\",\"answer\":\"The worksheet instructs using the box method to expand each pair of polynomials and combine like terms.\"},{\"question\":\"How many problems are included in the practice set?\",\"answer\":\"The document shows problems numbered 1 through 10 in the 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