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3pgWnYisCSl6tA4pATBFQ8sa04FRsRUDJq3VAEYgpAkremBZcWYv9zz//mJkzZ5q///7b/Pvvv2UtTlHmr+QtymIPpvTrr79umjdvbjp16mSqV69uxowZYyCzhmgRUPJGi3fsc4OkHTp0MF9++aXVZcmSJaZ8+fJm8+bNsdctbgooeeNWYj7lZWgL8YIOcXm+Xr16pnPnzlYS0qxVq5YZOXKkT8n0Mb8IKHn9Ihej53bs2GHuv/9+O9S98sor7fHOnTt9a7BmzZqkYfJ+++1nXnnlFd/p6YP+EFDy+sMtNk99/fXXplGjRuaZZ54xe/fuNZMnTzaQrU6dOmb9+vWB9ejTp485/fTTk8gcOFFNICsElLxZwRTPSAxxe/fube677z7z7rvvJpTo2rWrJXDLli0DkY4GoWHDhnbFOZG4HkSGgJI3MqijzwjytmjRwhLVOSedNWuWvcZKMa96/AQWrOi9mfNu2bLFNhBB59N+5CjmZ5S8BV76DzzwgH2dA2El/PXXX5a8Bx54YBJ5ISLzWebHq1evtsTcuHGjadOmjT2X5yEuc+fdu3fbOG+//bZp37693NZ9RAgoeSMCuiyzgZTO8Nprr1nynn322YlhMz0ww+tzzz3XTJw40VSqVMlMmjTJ1KxZ0/Ts2dPGl9dBl156qT1n7izbtGnTnFnocQQIKHkjADmfsmBoSy/pXCHm2ieffGLq16+feJV0zjnn2DijR4821113nT2eMGGCVYX5s3ubN29ePqlZFLIoeYuimP9TkiExxGUvPTJ7yPrFF1/YiJzXrVvXnH/++ZbMDL27deuWiP9fanpUlggoecsS/Yjz5l0sxOXzRiGuiOBcbNqwYYOpUKGCGTBggNzWfR4ioOTNw0LJhUjLly83J554onnnnXds8pB17ty5iWGyM09eAUHyDz/80HlZj/MMASVvnhVILsRhMapx48aGVWEJ9LzHHntsogdetmyZefHFF+35RRddZHte6Z0h+m233ZaIK2novmwRUPKWLf45z53XQrzquffee+08l7kuGyvLEJr727ZtMxUrVjRVq1a1X2EdddRRds4r74Ah9U033ZSyl865AppBWgSUvGmhKYwbEJchcKqNRSp6VUjK/fHjx9uFK14VQeS77rrLXHPNNfYeJNeQXwgoefOrPEKVBmIyVGaem26TDEeMGGF75ClTptjeePbs2ebuu++2/9VV4gpK+bVX8uZXeZSpNJBdQ3wQUPLGp6xUUkUgCQElbxIceqIIxAcBJW98ykolVQSSEFDyJsGhJ4pAfBBQ8sanrFRSRSAJASVvEhx6ogjEBwElb3zKSiVVBJIQUPImwaEnikB8EFDyxqesVFJFIAkBJW8SHHqiCMQHgYInL86wsMukm2IQpzqQTRNS8OR99tln7b9i4lRwKqs2NErefQjccccdlsArVqzIBhONowjEAoGC73mlFJo0aWIwWapBESgUBIqGvKNGjbK9L3NgDYpAISBQNOT97bffTLVq1bT3LYRaqzpYBIqGvGjbsWNHS+Coyh7XIc2aNbM2pPDWJwbdoso/V/mgB+5OhgwZYlauXFkweuUKr1ylW1TkHTp0qB06//LLL7nCM5EuFfzMM880H330kXnjjTdsvtiIintAr1tvvdWahWUKcswxx5jbb79djdOVQcEWFXmXLl1qSfTBBx/kHGrcgWDUbf78+bZnwtgbr4Dibmpm69at1izsDz/8YDHESB3eBv/444+cY6oZJCNQMOQVVx3J6pU8K1++vHWkVfKOsVYU8Y63ePFi8+OPPwYeDmL0DbKSJkQeNmxY5OTFzCtG6Ogx2ZDHvaXCIt010qARolEiSCPFCCPK8MILL1iDeeji1Mt5HKU8XvLatWuX+fTTT+3GMTr4CbEmLyZLafGx8I83ACpSaYGK179//xLR6I0h2AknnGB7Eo6p+GK7uMQDWV5gqFy7dm3rnYCKFXW48MILrV54r6f3d2/Ybw4SwKhGjRqGBcEow6BBg6xelLtbJ86xU51vgfLHQyN2samHuFjF8P2cOXN8dRRlTl7IgVFvr60PQLAIhK9YKiBky5a8vXr1SipX0mI+zNdYHCPTmDFjbJo42wpCYOTCNxCVDFn9hhkzZhgZqmabBrrg/QAZUm2HH364+fjjj7NNrkQ8RjvYd8YHkt/A6MTpySHbdAYOHJhSJ/Q84IADzIIFC7JNynM8v3UWkuLADVO6lA3lSeOHzNQ9rxzIC/Jiud+r4CAOAGwCQLbkxfq/MyxZssQCSGtNepL2EUccYa/TWgYNHTp0MPXq1Uuk7zW91q1bJ/wMZfssuhx99NHmvffesw0QlY6Ks3fvXkvqIHpBXBokFuMoOz/lhx6UHZuXQF6dOnWyRuLRSTb0wpfwY4895luebORYv3697e296ExZ3HLLLbY+Ud8kTJ061V5r0KCBLRu5ns3eF3kRRCo5mQQpPID3S15R0Ct58QLgDAxtaf1YeEEeCV27drXXH330UbmU2KO/u/CcmPTu3duuNkucHj162LQYLXgNpHHFFVd4Ji+64EDbqRNpMeTEbadTXpGJa+7rooMzDnh999139hKjFEjsJ/ghL/KRv1Mv8sZxWqtWrUrIzz23Xujk1itb+ZnfMzT38jxxaXCQm72ELVu22Gtc9zoy80xeFl9o3RizM/ykJRfyjBs3rgSgImS6Pa1lWORlCFZaQG4K2B0Y+n3zzTdJl4kLqM6KSSXo16+fadGihbn++uvN9OnTDR74aFXvueceO5QnEYZB9EwSiM97Zjcx5H6mPc906dLFM3lJ050fFY95sPs6lYvpB/cuvvhiO5XZtGmT1f/qq682s2bNsiLy3GWXXWbjCvHAyK9XBfIkHa/BLT/503vhJNwdFi5caGiIea1FfsSFfJQvddadlvt59/miRYs8k5c0aGzQ1ZkfsoAf26+//urOKuO5J/Li8pFMnnvuOYMndCbbCHPjjTeaPXv22HteexYUCou82cydKLCmTZtmBIWbgMqw+cgjj0yACuh4iZ82bZrhXfHYsWNN5cqVTa1ataz+vP8UghK3e/fu5qSTTjKnnXaaXUDxio0ICbF4JZNN4yTPpNqjE8R0e7En/aeeesqWJUPsl156yZYlPQRuULgHDpQVUxP3AhHl56yQqfJOd00agHT3s7lO3uDzxBNPlIguUyJ0euutt2ydRR8aXsqP+uy1XAQDcAsaeLOBDHx37xXDrMlLwrT+QhDOIQIrjfSe0kt5XVQJk7zSO2QC9JRTTrG9ZqY43KNSAeqTTz6ZAJXCP+ussxLDJbAgDotdEItjemApBAqXY7YgBc2zgwcPDkxehreUk8gnGFAGrEbLdXpndGHuyD2O6dVED+Rxb5KW130Y5P38889NuXLlzI4dO5KyR9527dolcOOcqRFTEGePt27duqTnSjsJi7zIA+7gizxeQ9bkJeG2bdsmKiGTdjKlBaMgESRTz0AcKSjnnmEMLbcMn9z3slGIZ5Dl5ZdfLjV6lSpVrMyZIsoiwtNPP52o0MRHP6eOki9zFfSDzOAQJDAXdWIgxyymud10yr1s8iQOPSY4uwO9LWUrAb3BU97lUrmZGgQJ4CbyOvfIk04vJ9bp8gZ31hNolFIRwFln0QG9BgwYYJOjo8mUB5g5ZZVj5AVLOXfv08nqvE7aw4cPt/LQ+fkJnsjrzIChM0DwmiebQAvuVpJzCo9FlTDI+/zzz2cURXoRwE8XmBowDGYRi4ohmzs+4DMk5r0wx2GFdOQFn1QYgWE2+TOnp7yIX1qgQSbuzp07S4ua9X0Wk1KVv9SBVPcyEUsyhoBMXSBTaYEPO9ALWbIJNAap5KIcgpCXOgVxDz74YDtqRZZ09SyTnJ7JKxVFlr1ZLZMg9+Q8mz2EYk6I8H4DAFMo9BiZAl9NEQ/gUgWIy/DLuZTPV1EUlgSRk8Ut0urWrZvc8lUAiYczHJAn87RsKnO6ZFj9Rt50r4dEL8qQ8nCXiZ+yTSeL87qQw3nNyzGdB3phcCFVQC9kZ8832MTdvn17IqofvYIOm5EZfKn7BGRj9Ll27dqEXNkcZE3en3/+2VZUACBTXjbzkl8EYL7hnDdlkzlxeP64444LhbzMCzMFPkig8FhwcgeIe8ghh9jhIQUqG19jTZgwwUanojE8w5O8jDxGjhyZSOqqq66yH3ckLoR0QOEGmfPyPOsV6C5rFk7RWMxhcQpi8/6WeOgigWEmvXEuQlDyIhvyko47UIa806fOcix1lmOCLMy5nyvtPAh5IS5E3b17d6KOiRzCpdLyl/tZkxeBAemGG24wkyZNsq9BGDoABJmykMMCh9fAs6zqUsG8BvJmo+CkABnqpANBCOeev7FyXKdOHTsUQieOmRuTJhsLIuQji3K837zkkkvsPSED9/kXEfuwA9jQiPjteZGpZcuWVt5UaQh+vDaRYxltMB9zv/8OUz/yY/MTwIXVfcpI5HWmI7o46yzE4TnqCGSWd9XO50o79ktenmOK2KhRI1vXeFvDJ5LIz5dq6eptOnmyJi8JU3kB6eSTTzafffaZzZhrvD+jpfZDQNJl7O/1WSokRBOCOffSqLiV5n0lf8h3B3RyPu8+RkbkowVv06aN/VKKVyj0Vnw+yddTvPv0+pLdLUe6c/LmdVwq4qV7xnmd56XhoQK5AyML0t9///3Ntddea1fYL7jgAksqPmhJN9R2p+PnPAh5yU/Im6oBeP/99+26BOXJWwb+DABZBAtW373WO/L0S9509RX5pFHxgmHW5CVRKjEVSHqXzZs323OuyzUvmUua//vf/3yBKPmSNz0uezaupwo0MqmGf/Jcur2kxX2G18yZKHTO+TM6L9c5zlUISl7k4l1mujUB0mcqsGrVqgSG3377rZ2DpcMyLF2Dkhf5GJWkw5/78rdMZA6jzvolLzJm2rxi6om8XhPPJj7g0vP5aQGzSV/i0CvSwmXzOkmeyZc92DBXcn8Bli/yBZGDzsDviCJIvkGepRxGjx6d8zpbmoxlTt7SBAzrPq0z81ivn6CFlb+mowiEjUBRkPenn36yvS6vtzQoAoWCQMGTl3e6zZs3t+SVL4YKpfBUj+JGoKDJu2HDhoRVjMcff7y4S1q1LzgECpq89LSyFVzJqUJFj0BBk7foS1cBKGgElLwFXbyqXCEjoOQt5NJV3QoaASVvQRevKlfICCh5C7l0VbeCRkDJW9DFq8oVMgJK3ohKN9ffbkekRlI28pF90kU9iQwBJW8OoaZyYx6XP0RgycKrobMcihYoaT7M5694/MXt4YcfNlE4bgskcIE+rOTNUcHS0955551mypQp9t8nWHTgj9gQOu6Bf4Fha2vjxo3WPA/GC6L2VRR3DMOQX8kbBoop0oC89LjY4yVMnDjRnvOf2TgHGp+aNWtap+HoIba88MOjIVoElLwOvPlvMf+b5Q/iWFnAnlOQuarMCUkDT/JnnHFGmfS8yDF79mzr5gSDem+++WYgvbC5hPM0CTRSo0aNklPdR4SAkncf0BAXEzCYysESIa5KKlasaL3oBRnq0hBAXEyvYCsr6oDsWNC4/PLLrX1k8RpI4xREL9FDjKdF7Z9X8i/mvZJ3nz8fFl8wrCc9LUbnKlWqZIe6YmTOT0UhPTbmibjkoJGIMpAvm+TLXv4iiZtM0dePTJAfi6Gp7Ef5SU+f8YaAknefXyIsJGLNz+m3BqN6DAmxzSyV3wu8zmewe0RazH2jCpCLVWGMrtFDSsA9C7JgOziVlwGJl2lP2tgDI11poDLF13vhI6Dk3dfz4ouHCr1mzZoEythW4hq9spOIRKDyOq9xziaB10I8i7lZAraiOY+avDQ85IsHCAkQlmtsbvKKHtIjs0dPOScN4px33nnWeD3XWRvI5IVC8tV9uAgoeffhyaopliGdlXTIkCG2gmMWVa6znzx5sjVXi+NqhoyYwYUInFOJiUOFZ94sfoyIV7t2bbN169ZwS7CU1PASwXtYp+sSfBMhL/I5GxxI2LBhQ3uPV1t//vmndcpFXNYBpLFCFxo05vGypfJhXIpoejsgAkreNABCQJkbykoq12T4ywKNuE/BXxFEZ25JRcd/DqSYMWOGtWfN+11sPONlMB8C5ENObHqhE4F3tvXq1bONC7Izl8VGNRuuM4mP3WNCnz59zM0332wX90gLveNmAdIqEvMfJW+aAmQ1lgpL5ZTeiZ4HI+v0tATOiUMFZ/iJxwQqvXNVmWdlS5NVpJeXLVtmV9GdUwHkwwMEuhI4p0flfS7HEJVeOupRQ6TAxDCzoiEvQ8VUm3vORxmy0kxlpTLLUFHKli+LJBAP8oqbF+JS2YMGhqwM1WWjcWjfvr3p3Lmz9fDOPLZnz56mb9++1uA4PpiyCTQqDN0hrlvvV199NdELcw8/VDgLp2dGJzcO2eSncXKLQNGQV/wUQTbZ8PbursRCXIbBQkTZu4sC3z6kRaMQZuBDEVZxZeODiEybDH0zyYAONALiWJq46fRasGCB1WvmzJmZktR7ZYxA0ZBXLPO7907y4q6UngnfPFKxV6xYkeRHhvjcY+vataut5BJX5sRlXKYlskc+fA7x5wiRlT0Nj/Ncjlmc4p70tvmqVwlFi+xC0ZC3tHKlojIcHTRokF1l5ZyNXpChMhV46dKldlGHxSdIjO+jZs2aJYabfMmEQ6t8ChASp9I4QtuzZ4/VCb0YLTDP5T6brBpzjwaM+S7HBBaqDjrooATR80m/YpZFybvPuTFDShlOu/esphKYA3MPMrOgxby4Xbt29h4+kMqXL29XoPOpQonMbp04R3bpVUUvviZr27atXXiDvKyQswg3duzYfFJLZTHGKHn3zf1YxEm3QVQCPZR8MkkFZ9WZFWY2yJ9LV5h+aivETKcT16VRIp5888yfJ3i/K43ZYYcdZkcj6K4hvxBQ8u4rDypwpk2KTSoxcQmc00PJdYmXL/tMOokOqfQQvdDNGS9f9FI5tOfVOqAIxBYB7XljW3QqeLEjoOQt9hqg+scWgaIgL3O2vXv3lrrhVXDt2rXm+++/1y0FBvxdMhsciaMh9wgUDXn5Yor/52baWrVqZZo0aaJbCgx4D4w1jkz4cY/XT4sWLcp9zdUciuNVET0vq6elbXz7y7Zt2zbdUmAANqVhKPeVW7lHoCh63tzDqDkoAtEjoOSNHnPNUREIBQElbygwaiKKQPQIKHmjx1xzVARCQUDJGwqMmogiED0CSt7oMdccFYFQEFDyhgJj8SXCKyH+bvj777/n7Z8yCr1UlLyFXsI50A/zOPydENNCmLvFiAFk1hAtAkreaPGOfW6QlC+p6HUJfE7KH/lXrlwZe93ipoCSN24l5kPeVL1iqmvZJM3XaljWENelnPPppNOqZjbpBI1DvtjQLuag5C3w0oek+CTC0TcWQaZOnWpNytaoUcN35Yc4bAQM9NHzTp8+PVIk0atKlSr2W2qG8IwE2OSYvd8GKlJFAmSm5A0AXhwepQJDLucGcSGxEDCIHlilxJysX6Iggx8vjMuXL0/Syakfx/zBRAzoBdEvn59V8uZz6YQgm5CXngh/Qpi+5Q8GYRAXNzAYgg9CEuTDTpZXebBpLXbDnOZ8586day1dYumz0IOSt8BLGBO19ER+e8Z08DBEFfOw0kCki5vpOsRv3LixZ/LSGA0ePDgpaeRo3bq1NdebdKNAT5S8BVqwopYQC5JAZPbpiMw95q4QE5eknM+ZM8f2cKtXr5YkzeLFiw3O07AyOX/+fOtyZeTIkYn7Xg6QyQ95WaxyLljRc+MQDS+Nbv3QY/bs2aZLly7WgTr3GXYzEsF+NffjGJS8cSw1DzILeTHpKvNCvAFCOmclpwJjDhYj8v379zdVq1a1voTxwyu+hXEFQxAzsZIe+ylTpniQ6r+o5OuHvP+l8P9HeGzEObpTJ+5w3q9fP6vbvHnz7AIXjtOOP/5466r1oYceiq2HQyWvuxYU2LmQl94UotBDjR492hJ54cKFVluuQT48QRA4h8jYqF61apV9rwtBxS41abo3nvETwiAveUNCPhZxB+Q/9dRTE6RmuI0uGMkfMWKEPWYfx6DkjWOpeZSZ4aWTXBCGCtyiRQtbqfnAAh/DOBgnQEzOMSzPc/gihvxcDxJkqOvcs9JMz8uik/M6x1zLJmzfvt2wgj5r1qwS0VnUktdY6IIHRl4xMeRHH8gMHnEMSt44lppHmd2Vk0oLeatXr56y4jK/5X6YPRINQzrvDQzNxVeSO05pqkJIcf5dmv9gcKhfv37CzUtpaef7fSVvvpdQAPmkZ6GnwWGaBCFvhQoVSrg4Jc7QoUMteb/66it5JJQ9RHNvLFjVrVvX9oLue5yXFtClYcOGVl53I+V+lsUpGiVecRVCUPIWQimm0YHKzGeMVNjx48cnYgl5IQ1xOB82bJjp0aOHJTOLVsx3uU5gT88o54mEQjggfxaPsiFqqux4nsaJLZV8/HmiadOmVk+G/mCB10MJfNbJ6nkcg5I3jqXmQWYqLF9AOcnBBw5U4oEDB9qUZJjMCjM9IR9NMLyEGIRevXrZ10XONDyIkDEqeVSrVi1JvowPuG6uW7fO6sJw201e5KURQi/muJiuRe+dO3faVDBR2759+4SerqTz/lTJm/dFFExAKjR/JHjkkUfMjBkzEvNDvnMWcu7atcs0aNDA3qdyT5o0yX6A8eCDD9p5KtfcxAgm1X9PI0PlypV9k5fXP8jHyMAdkJmGa/jw4fZzSV4ZMapgZbpv377m0EMPtcb13c/F5VzJG5eSCiAnPRBkxah89+7d7fyXHtYZcMBNL83HCxBq06ZNlvALFixIOS92PhvkmLzKlSvnm7wQlFXxdP9q4nVYx44d7ffTxEXvcePG2YZKGq8g8pfls0reskQ/4rypvLkY+gZRAzLxOiff5AqiU1TPKnmjQlrzUQRCRkDJGzKgmpwiEBUCSt6okNZ8FIGQEVDyhgyoJqcIRIWAkjcqpDUfRSBkBJS8IQOqySkCUSGg5I0Kac1HEQgZASVvyIBqcopAVAgoeaNCWvNRBEJGQMkbMqCanCIQFQJK3qiQ1nwUgZARUPKGDKgmpwhEhYCSNyqkNR9FIGQElLwhA6rJKQJRIaDkjQppzUcRCBkBJW/IgGpyikBUCCh5o0Ja81EEQkZAyRsyoJqcIhAVAkreqJDWfBSBkBFQ8oYMqCanCESFwP8B70oz5jdBnFYAAAAASUVORK5CYII=[/img][/td][/tr][/table]
[math]6x^2-7x-5=(2x+1)(3x-5)[/math].
[i]Pause here for a whole-class discussion.[br][br][/i][size=150][math](x-2)[/math] is a factor of [math]2x^3-7x^2+x+10[/math], which means there is some other factor A where [math]2x^3-7x^2+x+10=(x-2)(A)[/math]. [/size]
[math]2x^3+13x^2+16x+5=(2x+1)(x^2+6x+5)[/math]
What is [math](x^4-1)\div(x-1)[/math]?
Use your response to predict what [math](x^7-1)\div(x-1)[/math] is.