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
1051	Multiply polynomial $ \, \color{blue}{ 2x^3 } \, $ by $ \, \color{orangered}{ 2x }$.	2
1052	Subtract polynomials: $ \, \color{blue}{ x^3+x^2+3x-5 } \, $ , $ \, \color{orangered}{ x^2-x+2 }$.	2
1053	Multiply polynomial $ \, \color{blue}{ x^3+x^2+3x-5 } \, $ by $ \, \color{orangered}{ x^2-x+2 }$.	2
1054	Subtract polynomials: $ \, \color{blue}{ x^3-x^2+3x-5 } \, $ , $ \, \color{orangered}{ x^2-x+2 }$.	2
1055	Multiply polynomial $ \, \color{blue}{ -3y+y^2-8+5y^3 } \, $ by $ \, \color{orangered}{ 7y^2+4y-2y^3 }$.	2
1056	Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ x^3+2x }$.	2
1057	Subtract polynomials: $ \, \color{blue}{ 4x-3 } \, $ , $ \, \color{orangered}{ x^3+2x }$.	2
1058	Multiply polynomial $ \, \color{blue}{ 2x^2+5x-9 } \, $ by $ \, \color{orangered}{ 3x-17 }$.	2
1059	Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 3+4x }$.	2
1060	Add $ \, \color{blue}{ 3x+1 } \, $ and $ \, \color{orangered}{ 2x-3 }$.	2
1061	Subtract polynomials: $ \, \color{blue}{ x^2+2 } \, $ , $ \, \color{orangered}{ x-22 }$.	2
1062	Multiply polynomial $ \, \color{blue}{ 16i^2-16i+16 } \, $ by $ \, \color{orangered}{ 4-4i }$.	2
1063	Multiply polynomial $ \, \color{blue}{ 16-16i+16i^2 } \, $ by $ \, \color{orangered}{ 16-16i+16i^2 }$.	2
1064	Add $ \, \color{blue}{ 2x+3x^3+1 } \, $ and $ \, \color{orangered}{ 2+3x^2+x }$.	2
1065	Multiply polynomial $ \, \color{blue}{ 3x^2+2x-7 } \, $ by $ \, \color{orangered}{ 5x^2+2x-7 }$.	2
1066	Add $ \, \color{blue}{ x^2+3 } \, $ and $ \, \color{orangered}{ 2x^2+2x+1 }$.	2
1067	Add $ \, \color{blue}{ 2x^2+3 } \, $ and $ \, \color{orangered}{ 4x-1 }$.	2
1068	Add $ \, \color{blue}{ 7a-6a^3+a^2 } \, $ and $ \, \color{orangered}{ 2-3a^2+a }$.	2
1069	Add $ \, \color{blue}{ 1+7r^4-8r } \, $ and $ \, \color{orangered}{ 4r-2r^4-1 }$.	2
1070	Add $ \, \color{blue}{ -k-8k^3+5k^4+k^2 } \, $ and $ \, \color{orangered}{ -3k^3+6k^2+3k }$.	2
1071	Add $ \, \color{blue}{ -6x^4-3x^3+5+3x^2 } \, $ and $ \, \color{orangered}{ 8x^4+6x^3+4x^2 }$.	2
1072	Subtract polynomials: $ \, \color{blue}{ -7r-4r^3-7r^2 } \, $ , $ \, \color{orangered}{ 4r+7r^3-2r^2 }$.	2
1073	Subtract polynomials: $ \, \color{blue}{ -3-4x^2-8x^4 } \, $ , $ \, \color{orangered}{ -1+3x^4+8x^2 }$.	2
1074	Subtract polynomials: $ \, \color{blue}{ 8n^3+6n^2+n-7 } \, $ , $ \, \color{orangered}{ \cancel{8n}-2n^2 -\cancel{8n} }$.	2
1075	Subtract polynomials: $ \, \color{blue}{ -4+8n^2-8n } \, $ , $ \, \color{orangered}{ \cancel{8n}-2n^2 -\cancel{8n} }$.	2
1076	Subtract polynomials: $ \, \color{blue}{ -4+8n^2-8n^3-2n } \, $ , $ \, \color{orangered}{ 7n^2-4n^3-1 }$.	2
1077	Multiply polynomial $ \, \color{blue}{ x^2+6x-4 } \, $ by $ \, \color{orangered}{ 2x-4 }$.	2
1078	Subtract polynomials: $ \, \color{blue}{ -2g^3+4g^2-g-8 } \, $ , $ \, \color{orangered}{ -7g^3+g }$.	2
1079	Subtract polynomials: $ \, \color{blue}{ -4s^4+3s^3 } \, $ , $ \, \color{orangered}{ 2s-3 }$.	2
1080	Subtract polynomials: $ \, \color{blue}{ 6q^4-q^3+9q^2+6q+4 } \, $ , $ \, \color{orangered}{ 6q^4+7q^3+2q^2-3q }$.	2
1081	Subtract polynomials: $ \, \color{blue}{ 4g^3+6g^2+3g+9 } \, $ , $ \, \color{orangered}{ 3g^3+5g^2+g+1 }$.	2
1082	Multiply polynomial $ \, \color{blue}{ 2t+2 } \, $ by $ \, \color{orangered}{ 2t-2 }$.	2
1083	Multiply polynomial $ \, \color{blue}{ 3g+4 } \, $ by $ \, \color{orangered}{ 4g-3 }$.	2
1084	Multiply polynomial $ \, \color{blue}{ r^2+r+1 } \, $ by $ \, \color{orangered}{ 3r-4 }$.	2
1085	Multiply polynomial $ \, \color{blue}{ d^2-4d+4 } \, $ by $ \, \color{orangered}{ 3d+1 }$.	2
1086	Multiply polynomial $ \, \color{blue}{ 2v^2+4v+2 } \, $ by $ \, \color{orangered}{ 2v+4 }$.	2
1087	Multiply polynomial $ \, \color{blue}{ 4x^2+12x-9 } \, $ by $ \, \color{orangered}{ x-3 }$.	2
1088	Add $ \, \color{blue}{ 2x+15+x+x+15+x-5+x+2x-5 } \, $ and $ \, \color{orangered}{ 0 }$.	2
1089	Subtract polynomials: $ \, \color{blue}{ 2x-8x^2 } \, $ , $ \, \color{orangered}{ 5x^4-3x^2 }$.	2
1090	Add $ \, \color{blue}{ -2x^2+10x^4+x^3 } \, $ and $ \, \color{orangered}{ 4x^3+3x^4+8x^2 }$.	2
1091	Subtract polynomials: $ \, \color{blue}{ 4x^3+5 } \, $ , $ \, \color{orangered}{ 7-2x^3 }$.	2
1092	Subtract polynomials: $ \, \color{blue}{ 4x^4-2x } \, $ , $ \, \color{orangered}{ 6x-2x^4 }$.	2
1093	Subtract polynomials: $ \, \color{blue}{ 13x^2-6x^5-2x } \, $ , $ \, \color{orangered}{ -10x^2-11x^5+9x }$.	2
1094	Multiply polynomial $ \, \color{blue}{ 2x^3+3x^2 } \, $ by $ \, \color{orangered}{ 4x^4-5x^3-6x^2 }$.	2
1095	Add $ \, \color{blue}{ 4x^2+x+5 } \, $ and $ \, \color{orangered}{ 7x^2-3x-3 }$.	2
1096	Multiply polynomial $ \, \color{blue}{ s^4+26s^3+223s^2+630s } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
1097	Add $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ and $ \, \color{orangered}{ s^3+10s^2+20s+20 }$.	2
1098	Add $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ and $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
1099	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
1100	Multiply polynomial $ \, \color{blue}{ w-1 } \, $ by $ \, \color{orangered}{ 4w-4 }$.	2