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^2+x-2 } \, $ by $ \, \color{orangered}{ x^2-6x+8 }$.	2
1002	Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x+1 }$.	2
1003	Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x-4 }$.	2
1004	Multiply polynomial $ \, \color{blue}{ x^2-6x+8 } \, $ by $ \, \color{orangered}{ x^2-x-2 }$.	2
1005	Subtract polynomials: $ \, \color{blue}{ -x^2+5x-11 } \, $ , $ \, \color{orangered}{ -x^2+6x-14 }$.	2
1006	Subtract polynomials: $ \, \color{blue}{ -4x^2-11x+7 } \, $ , $ \, \color{orangered}{ 5x^2-7x-9 }$.	2
1007	Subtract polynomials: $ \, \color{blue}{ 3x^2-7x+12 } \, $ , $ \, \color{orangered}{ x^2-8x+18 }$.	2
1008	Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ x+4 }$.	2
1009	Subtract polynomials: $ \, \color{blue}{ 8n^3-n^4-8n } \, $ , $ \, \color{orangered}{ 8n^4+5n^3-8n }$.	2
1010	Multiply polynomial $ \, \color{blue}{ n0 } \, $ by $ \, \color{orangered}{ n0 }$.	2
1011	Add $ \, \color{blue}{ 5+8+11+58 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
1012	Add $ \, \color{blue}{ 2x^3+2x^2-x+1 } \, $ and $ \, \color{orangered}{ -2x^3+5x^2+x+2 }$.	2
1013	Multiply polynomial $ \, \color{blue}{ x^2+14x+40 } \, $ by $ \, \color{orangered}{ -6x-1 }$.	2
1014	Multiply polynomial $ \, \color{blue}{ -3+10x^3-5x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1015	Subtract polynomials: $ \, \color{blue}{ 8x^2-7x+8 } \, $ , $ \, \color{orangered}{ 4x^2-3x+3 }$.	2
1016	Subtract polynomials: $ \, \color{blue}{ 9x^3-4x^2-6x+8 } \, $ , $ \, \color{orangered}{ x^3-x^2+11x+7 }$.	2
1017	Multiply polynomial $ \, \color{blue}{ 5x^2+x-7 } \, $ by $ \, \color{orangered}{ x+5 }$.	2
1018	Multiply polynomial $ \, \color{blue}{ 4x^2+2x+7 } \, $ by $ \, \color{orangered}{ -x-2 }$.	2
1019	Subtract polynomials: $ \, \color{blue}{ 5x^2-4x+2 } \, $ , $ \, \color{orangered}{ 11x^2+5x-2 }$.	2
1020	Add $ \, \color{blue}{ 6y^2+y-5 } \, $ and $ \, \color{orangered}{ 9y^2-y-8 }$.	2
1021	Add $ \, \color{blue}{ 5x^2-x+5 } \, $ and $ \, \color{orangered}{ 4x^2+9x-7 }$.	2
1022	Add $ \, \color{blue}{ -4x+x-12 } \, $ and $ \, \color{orangered}{ 2x^3+3x^2-4 }$.	2
1023	Subtract polynomials: $ \, \color{blue}{ d+6d^3+4d^2 } \, $ , $ \, \color{orangered}{ 12-4d+5d^2 }$.	2
1024	Subtract polynomials: $ \, \color{blue}{ -d+6d^3+4d^2 } \, $ , $ \, \color{orangered}{ 12-4d+5d^2 }$.	2
1025	Subtract polynomials: $ \, \color{blue}{ 3y^3+5y+8 } \, $ , $ \, \color{orangered}{ y^3-4y^2+3y }$.	2
1026	Subtract polynomials: $ \, \color{blue}{ 2x^3+8x^4+8x } \, $ , $ \, \color{orangered}{ x^4-4x^3+3x }$.	2
1027	Subtract polynomials: $ \, \color{blue}{ 11x^3-3x^2 } \, $ , $ \, \color{orangered}{ 4x^3-x^2+8x }$.	2
1028	Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ x^2-4x+2 }$.	2
1029	Multiply polynomial $ \, \color{blue}{ 15x^3 } \, $ by $ \, \color{orangered}{ 4x^3 }$.	2
1030	Multiply polynomial $ \, \color{blue}{ -4+3r } \, $ by $ \, \color{orangered}{ 7r-2 }$.	2
1031	Subtract polynomials: $ \, \color{blue}{ b^2+8b-9 } \, $ , $ \, \color{orangered}{ 11b^2-4b+7 }$.	2
1032	Multiply polynomial $ \, \color{blue}{ x^6+x^4+3x } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1033	Multiply polynomial $ \, \color{blue}{ 4v-1 } \, $ by $ \, \color{orangered}{ v+3 }$.	2
1034	Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x^2-4x+16 }$.	2
1035	Multiply polynomial $ \, \color{blue}{ 11x^2-14x+3 } \, $ by $ \, \color{orangered}{ 9x-2 }$.	2
1036	Multiply polynomial $ \, \color{blue}{ 5x^2-x-5 } \, $ by $ \, \color{orangered}{ 5x-3 }$.	2
1037	Subtract polynomials: $ \, \color{blue}{ 2x^4-4-x } \, $ , $ \, \color{orangered}{ 2x^4-x+4 }$.	2
1038	Multiply polynomial $ \, \color{blue}{ -x^2-4x+1 } \, $ by $ \, \color{orangered}{ 2x^2-9 }$.	2
1039	Multiply polynomial $ \, \color{blue}{ 3x^3 } \, $ by $ \, \color{orangered}{ 3x^2 }$.	2
1040	Subtract polynomials: $ \, \color{blue}{ 3x^2-x+10 } \, $ , $ \, \color{orangered}{ -2x+9x^2-1 }$.	2
1041	Multiply polynomial $ \, \color{blue}{ 2x+1 } \, $ by $ \, \color{orangered}{ x-3 }$.	2
1042	Multiply polynomial $ \, \color{blue}{ x^3-4x-2 } \, $ by $ \, \color{orangered}{ x^2-6 }$.	2
1043	Multiply polynomial $ \, \color{blue}{ 10x+3 } \, $ by $ \, \color{orangered}{ x^2-1 }$.	2
1044	Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1045	Multiply polynomial $ \, \color{blue}{ 2x^2+10 } \, $ by $ \, \color{orangered}{ x-2 }$.	2
1046	Multiply polynomial $ \, \color{blue}{ 3x^2-3x-9 } \, $ by $ \, \color{orangered}{ -9x }$.	2
1047	Add $ \, \color{blue}{ x-6 } \, $ and $ \, \color{orangered}{ x-6 }$.	2
1048	Add $ \, \color{blue}{ 2x^2 } \, $ and $ \, \color{orangered}{ 2x^2 }$.	2
1049	Add $ \, \color{blue}{ 4x^2 } \, $ and $ \, \color{orangered}{ 2x-12 }$.	2
1050	Add $ \, \color{blue}{ 45 } \, $ and $ \, \color{orangered}{ 56 }$.	2