Operations on polynomials

(the database of solved problems)

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

Select category

ID	Problem	Count
1001	Add $ \, \color{blue}{ 5g+3 } \, $ and $ \, \color{orangered}{ 5g+1 }$.	2
1002	Subtract polynomials: $ \, \color{blue}{ 9w+5 } \, $ , $ \, \color{orangered}{ 8w+5 }$.	2
1003	Subtract polynomials: $ \, \color{blue}{ 6g^3+2g^2-9 } \, $ , $ \, \color{orangered}{ 5g^3-7g^2-g+4 }$.	2
1004	Subtract polynomials: $ \, \color{blue}{ -3a^2-3a-4 } \, $ , $ \, \color{orangered}{ 2a^2-a+1 }$.	2
1005	Subtract polynomials: $ \, \color{blue}{ 14p+4p } \, $ , $ \, \color{orangered}{ 2p+p }$.	2
1006	Subtract polynomials: $ \, \color{blue}{ 8x+4x^2-4 } \, $ , $ \, \color{orangered}{ 6+7x^2+x }$.	2
1007	Add $ \, \color{blue}{ x+5x^2+7x^3 } \, $ and $ \, \color{orangered}{ 8x^3-x }$.	2
1008	Multiply polynomial $ \, \color{blue}{ 5x-2 } \, $ by $ \, \color{orangered}{ 4x+7 }$.	2
1009	Multiply polynomial $ \, \color{blue}{ 6x^2-x-4 } \, $ by $ \, \color{orangered}{ 2x^2-7x-6 }$.	2
1010	Add $ \, \color{blue}{ -2x^2+x+31 } \, $ and $ \, \color{orangered}{ 3x^2+7x-8 }$.	2
1011	Subtract polynomials: $ \, \color{blue}{ -9+2n^4+13n } \, $ , $ \, \color{orangered}{ 12+7n^4+n }$.	2
1012	Add $ \, \color{blue}{ 2x^2+9x } \, $ and $ \, \color{orangered}{ 5x^2-8x }$.	2
1013	Subtract polynomials: $ \, \color{blue}{ 3x^4-3x } \, $ , $ \, \color{orangered}{ 3x-3x^4 }$.	2
1014	Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ x-4 }$.	2
1015	Add $ \, \color{blue}{ 4-5 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
1016	Multiply polynomial $ \, \color{blue}{ 2x^9+3x^7 } \, $ by $ \, \color{orangered}{ -6x^2+9 }$.	2
1017	Subtract polynomials: $ \, \color{blue}{ 4x^2+9 } \, $ , $ \, \color{orangered}{ x^2+4x }$.	2
1018	Multiply polynomial $ \, \color{blue}{ 4x^3+5 } \, $ by $ \, \color{orangered}{ 3x^6-8x^2 }$.	2
1019	Subtract polynomials: $ \, \color{blue}{ -5x } \, $ , $ \, \color{orangered}{ -2x+5 }$.	2
1020	Multiply polynomial $ \, \color{blue}{ -x^2+4x+3 } \, $ by $ \, \color{orangered}{ 3x^2-7x+6 }$.	2
1021	Add $ \, \color{blue}{ 3x^2-6x^4+5-6x } \, $ and $ \, \color{orangered}{ 5x^4-6x^3+4x }$.	2
1022	Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ x^2-10x-2 }$.	2
1023	Subtract polynomials: $ \, \color{blue}{ 8x^4-2x^2+x-4 } \, $ , $ \, \color{orangered}{ 3x^3-12x^2+8x }$.	2
1024	Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x-2 }$.	2
1025	Multiply polynomial $ \, \color{blue}{ x^2+x-2 } \, $ by $ \, \color{orangered}{ x^2-6x+8 }$.	2
1026	Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x+1 }$.	2
1027	Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x-4 }$.	2
1028	Multiply polynomial $ \, \color{blue}{ x^2-6x+8 } \, $ by $ \, \color{orangered}{ x^2-x-2 }$.	2
1029	Subtract polynomials: $ \, \color{blue}{ -x^2+5x-11 } \, $ , $ \, \color{orangered}{ -x^2+6x-14 }$.	2
1030	Subtract polynomials: $ \, \color{blue}{ -4x^2-11x+7 } \, $ , $ \, \color{orangered}{ 5x^2-7x-9 }$.	2
1031	Subtract polynomials: $ \, \color{blue}{ 3x^2-7x+12 } \, $ , $ \, \color{orangered}{ x^2-8x+18 }$.	2
1032	Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ x+4 }$.	2
1033	Subtract polynomials: $ \, \color{blue}{ 8n^3-n^4-8n } \, $ , $ \, \color{orangered}{ 8n^4+5n^3-8n }$.	2
1034	Multiply polynomial $ \, \color{blue}{ n0 } \, $ by $ \, \color{orangered}{ n0 }$.	2
1035	Add $ \, \color{blue}{ 5+8+11+58 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
1036	Add $ \, \color{blue}{ 2x^3+2x^2-x+1 } \, $ and $ \, \color{orangered}{ -2x^3+5x^2+x+2 }$.	2
1037	Multiply polynomial $ \, \color{blue}{ x^2+14x+40 } \, $ by $ \, \color{orangered}{ -6x-1 }$.	2
1038	Multiply polynomial $ \, \color{blue}{ -3+10x^3-5x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1039	Subtract polynomials: $ \, \color{blue}{ 8x^2-7x+8 } \, $ , $ \, \color{orangered}{ 4x^2-3x+3 }$.	2
1040	Subtract polynomials: $ \, \color{blue}{ 9x^3-4x^2-6x+8 } \, $ , $ \, \color{orangered}{ x^3-x^2+11x+7 }$.	2
1041	Multiply polynomial $ \, \color{blue}{ 5x^2+x-7 } \, $ by $ \, \color{orangered}{ x+5 }$.	2
1042	Multiply polynomial $ \, \color{blue}{ 4x^2+2x+7 } \, $ by $ \, \color{orangered}{ -x-2 }$.	2
1043	Subtract polynomials: $ \, \color{blue}{ 5x^2-4x+2 } \, $ , $ \, \color{orangered}{ 11x^2+5x-2 }$.	2
1044	Add $ \, \color{blue}{ 6y^2+y-5 } \, $ and $ \, \color{orangered}{ 9y^2-y-8 }$.	2
1045	Add $ \, \color{blue}{ 5x^2-x+5 } \, $ and $ \, \color{orangered}{ 4x^2+9x-7 }$.	2
1046	Add $ \, \color{blue}{ -4x+x-12 } \, $ and $ \, \color{orangered}{ 2x^3+3x^2-4 }$.	2
1047	Subtract polynomials: $ \, \color{blue}{ d+6d^3+4d^2 } \, $ , $ \, \color{orangered}{ 12-4d+5d^2 }$.	2
1048	Subtract polynomials: $ \, \color{blue}{ -d+6d^3+4d^2 } \, $ , $ \, \color{orangered}{ 12-4d+5d^2 }$.	2
1049	Subtract polynomials: $ \, \color{blue}{ 3y^3+5y+8 } \, $ , $ \, \color{orangered}{ y^3-4y^2+3y }$.	2
1050	Subtract polynomials: $ \, \color{blue}{ 2x^3+8x^4+8x } \, $ , $ \, \color{orangered}{ x^4-4x^3+3x }$.	2