Operations on polynomials

(the database of solved problems)

All the problems and solutions shown below were generated using the Polynomial Operations Calculator.

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ID	Problem	Count
1001	Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ x^2+3x+9 }$.	2
1002	Multiply polynomial $ \, \color{blue}{ 7x^2+8x+2 } \, $ by $ \, \color{orangered}{ 4x^2-6x-2 }$.	2
1003	Add $ \, \color{blue}{ x^6+7x^5+2x^4+9x^3+10x^2+12x+15 } \, $ and $ \, \color{orangered}{ x^6+9x^5+8x^4+9x^3+12x^2+15x+20 }$.	2
1004	Subtract polynomials: $ \, \color{blue}{ x^6+7x^5+2x^4+9x^3+10x^2+12x+15 } \, $ , $ \, \color{orangered}{ x^6+9x^5+8x^4+9x^3+12x^2+15x+20 }$.	2
1005	Subtract polynomials: $ \, \color{blue}{ x^6+7x^5+2x^4+9x^3+10x^2+12x+15 } \, $ , $ \, \color{orangered}{ x^6-9x^5-8x^4-9x^3-12x^2-15x-20 }$.	2
1006	Subtract polynomials: $ \, \color{blue}{ x^6+7x^5+2x^4+9x^3+10x^2+12x+15 } \, $ , $ \, \color{orangered}{ -x^6-9x^5-8x^4-9x^3-12x^2-15x-20 }$.	2
1007	Multiply polynomial $ \, \color{blue}{ s^5+41s^4+613s^3+3975s^2+9450s } \, $ by $ \, \color{orangered}{ s^5+32s^4+363s^3+2092s^2+5052s+4320 }$.	2
1008	Subtract polynomials: $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ , $ \, \color{orangered}{ s^9+58s^8+1409s^7+18678s^6+146995s^5+696614s^4+1907795s^3+2663850s^2+1323000s }$.	2
1009	Subtract polynomials: $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ , $ \, \color{orangered}{ -s^9-58s^8-1409s^7-18678s^6-146995s^5-696614s^4-1907795s^3-2663850s^2-1323000s }$.	2
1010	Add $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ and $ \, \color{orangered}{ -s^9-58s^8-1409s^7-18678s^6-146995s^5-696614s^4-1907795s^3-2663850s^2-1323000s }$.	2
1011	Multiply polynomial $ \, \color{blue}{ s^4+17s^3+99s^2+223s+140 } \, $ by $ \, \color{orangered}{ 20s^4+380s^3+2480s^2+6480s+5760 }$.	2
1012	Multiply polynomial $ \, \color{blue}{ m+5 } \, $ by $ \, \color{orangered}{ m+5 }$.	2
1013	Multiply polynomial $ \, \color{blue}{ x-7 } \, $ by $ \, \color{orangered}{ x-7 }$.	2
1014	Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ -7x-8 }$.	2
1015	Subtract polynomials: $ \, \color{blue}{ s^6+7s^5+2s^4+9s^3+10s^2+12s+15 } \, $ , $ \, \color{orangered}{ -s^6-9s^5-8s^4-9s^3-12s^2-15s-20 }$.	2
1016	Multiply polynomial $ \, \color{blue}{ x^2-2x-4 } \, $ by $ \, \color{orangered}{ x^2-2x-4 }$.	2
1017	Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ x+3 }$.	2
1018	Add $ \, \color{blue}{ 8g^4-14g^3 } \, $ and $ \, \color{orangered}{ 4g^2 }$.	2
1019	Subtract polynomials: $ \, \color{blue}{ -v^3+4v^2-5 } \, $ , $ \, \color{orangered}{ 6v^3+3v^2-3 }$.	2
1020	Subtract polynomials: $ \, \color{blue}{ -v^3+4v^2-5 } \, $ , $ \, \color{orangered}{ -6v^3-3v^2+3 }$.	2
1021	Add $ \, \color{blue}{ 2x^4+x } \, $ and $ \, \color{orangered}{ 7x-2x^2 }$.	2
1022	Add $ \, \color{blue}{ 628 } \, $ and $ \, \color{orangered}{ 45 }$.	2
1023	Multiply polynomial $ \, \color{blue}{ x-9 } \, $ by $ \, \color{orangered}{ x+3 }$.	2
1024	Multiply polynomial $ \, \color{blue}{ 4r-5 } \, $ by $ \, \color{orangered}{ 3r^2+9r+4 }$.	2
1025	Multiply polynomial $ \, \color{blue}{ 5x^2+x+1 } \, $ by $ \, \color{orangered}{ x-2 }$.	2
1026	Multiply polynomial $ \, \color{blue}{ x^2-5 } \, $ by $ \, \color{orangered}{ x+4 }$.	2
1027	Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ x+5 }$.	2
1028	Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x+5 }$.	2
1029	Multiply polynomial $ \, \color{blue}{ 8 } \, $ by $ \, \color{orangered}{ 5 }$.	2
1030	Add $ \, \color{blue}{ 4444 } \, $ and $ \, \color{orangered}{ 5555 }$.	2
1031	Subtract polynomials: $ \, \color{blue}{ -x^2-3x+4 } \, $ , $ \, \color{orangered}{ x^2+2x+5 }$.	2
1032	Add $ \, \color{blue}{ 3x^2-6 } \, $ and $ \, \color{orangered}{ -x+1 }$.	2
1033	Add $ \, \color{blue}{ 8x^3+26x^2+13x-21 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
1034	Add $ \, \color{blue}{ 4x-3 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
1035	Multiply polynomial $ \, \color{blue}{ 3x+7 } \, $ by $ \, \color{orangered}{ 5x-2 }$.	2
1036	Multiply polynomial $ \, \color{blue}{ 157320x } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1037	Add $ \, \color{blue}{ 120 } \, $ and $ \, \color{orangered}{ 2x }$.	2
1038	Multiply polynomial $ \, \color{blue}{ 9x^4-30x^3+46x^2-32x+8 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1039	Add $ \, \color{blue}{ x^3-2x^2-9 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
1040	Add $ \, \color{blue}{ -2x^4+5x^3-2x+33 } \, $ and $ \, \color{orangered}{ x-3 }$.	2
1041	Add $ \, \color{blue}{ 5x^2+3x-8 } \, $ and $ \, \color{orangered}{ 2x^2+9x-7 }$.	2
1042	Add $ \, \color{blue}{ 5x^2+3x-8 } \, $ and $ \, \color{orangered}{ 2x^2-9x-7 }$.	2
1043	Add $ \, \color{blue}{ 7x^2+8x-5 } \, $ and $ \, \color{orangered}{ 3x^2-4x-7 }$.	2
1044	Add $ \, \color{blue}{ 5x^2-2x+6 } \, $ and $ \, \color{orangered}{ x^2+3x-9 }$.	2
1045	Subtract polynomials: $ \, \color{blue}{ 4x^2+9x-6 } \, $ , $ \, \color{orangered}{ 6x^2-7x+7 }$.	2
1046	Subtract polynomials: $ \, \color{blue}{ 7x^2-9x+7 } \, $ , $ \, \color{orangered}{ 8x^2-6x-9 }$.	2
1047	Multiply polynomial $ \, \color{blue}{ 4x-6 } \, $ by $ \, \color{orangered}{ x^2+3x+6 }$.	2
1048	Add $ \, \color{blue}{ x+5 } \, $ and $ \, \color{orangered}{ x-2 }$.	2
1049	Multiply polynomial $ \, \color{blue}{ c+4 } \, $ by $ \, \color{orangered}{ c+4 }$.	2
1050	Multiply polynomial $ \, \color{blue}{ 2x+8 } \, $ by $ \, \color{orangered}{ 5x-13 }$.	2