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
1051	Subtract polynomials: $ \, \color{blue}{ 11x^3-3x^2 } \, $ , $ \, \color{orangered}{ 4x^3-x^2+8x }$.	2
1052	Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ x^2-4x+2 }$.	2
1053	Multiply polynomial $ \, \color{blue}{ 15x^3 } \, $ by $ \, \color{orangered}{ 4x^3 }$.	2
1054	Multiply polynomial $ \, \color{blue}{ -4+3r } \, $ by $ \, \color{orangered}{ 7r-2 }$.	2
1055	Subtract polynomials: $ \, \color{blue}{ b^2+8b-9 } \, $ , $ \, \color{orangered}{ 11b^2-4b+7 }$.	2
1056	Multiply polynomial $ \, \color{blue}{ x^6+x^4+3x } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1057	Multiply polynomial $ \, \color{blue}{ 4v-1 } \, $ by $ \, \color{orangered}{ v+3 }$.	2
1058	Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x^2-4x+16 }$.	2
1059	Multiply polynomial $ \, \color{blue}{ 11x^2-14x+3 } \, $ by $ \, \color{orangered}{ 9x-2 }$.	2
1060	Multiply polynomial $ \, \color{blue}{ 5x^2-x-5 } \, $ by $ \, \color{orangered}{ 5x-3 }$.	2
1061	Subtract polynomials: $ \, \color{blue}{ 2x^4-4-x } \, $ , $ \, \color{orangered}{ 2x^4-x+4 }$.	2
1062	Multiply polynomial $ \, \color{blue}{ -x^2-4x+1 } \, $ by $ \, \color{orangered}{ 2x^2-9 }$.	2
1063	Multiply polynomial $ \, \color{blue}{ 3x^3 } \, $ by $ \, \color{orangered}{ 3x^2 }$.	2
1064	Subtract polynomials: $ \, \color{blue}{ 3x^2-x+10 } \, $ , $ \, \color{orangered}{ -2x+9x^2-1 }$.	2
1065	Multiply polynomial $ \, \color{blue}{ 2x+1 } \, $ by $ \, \color{orangered}{ x-3 }$.	2
1066	Multiply polynomial $ \, \color{blue}{ x^3-4x-2 } \, $ by $ \, \color{orangered}{ x^2-6 }$.	2
1067	Multiply polynomial $ \, \color{blue}{ 10x+3 } \, $ by $ \, \color{orangered}{ x^2-1 }$.	2
1068	Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1069	Multiply polynomial $ \, \color{blue}{ 2x^2+10 } \, $ by $ \, \color{orangered}{ x-2 }$.	2
1070	Multiply polynomial $ \, \color{blue}{ 3x^2-3x-9 } \, $ by $ \, \color{orangered}{ -9x }$.	2
1071	Add $ \, \color{blue}{ x-6 } \, $ and $ \, \color{orangered}{ x-6 }$.	2
1072	Add $ \, \color{blue}{ 2x^2 } \, $ and $ \, \color{orangered}{ 2x^2 }$.	2
1073	Add $ \, \color{blue}{ 4x^2 } \, $ and $ \, \color{orangered}{ 2x-12 }$.	2
1074	Add $ \, \color{blue}{ 45 } \, $ and $ \, \color{orangered}{ 56 }$.	2
1075	Multiply polynomial $ \, \color{blue}{ x^3-12x^2+20x+90 } \, $ by $ \, \color{orangered}{ x-6 }$.	2
1076	Add $ \, \color{blue}{ 5x^2+2x-4 } \, $ and $ \, \color{orangered}{ x^2-3x+4 }$.	2
1077	Subtract polynomials: $ \, \color{blue}{ x^2+6x-10 } \, $ , $ \, \color{orangered}{ -8x^2-3x }$.	2
1078	Subtract polynomials: $ \, \color{blue}{ -5x^2+7x+2 } \, $ , $ \, \color{orangered}{ -5x^2-7x+2 }$.	2
1079	Multiply polynomial $ \, \color{blue}{ -7x^2-8x-1 } \, $ by $ \, \color{orangered}{ -x^2-5x+1 }$.	2
1080	Multiply polynomial $ \, \color{blue}{ -7x^2-3x+5 } \, $ by $ \, \color{orangered}{ 7x^2-6x+7 }$.	2
1081	Add $ \, \color{blue}{ x-x^4-3x^3 } \, $ and $ \, \color{orangered}{ -6x^3-7x^2-x }$.	2
1082	Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^3+6x^2+25x+44 }$.	2
1083	Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^3+6x^2-25x-6 }$.	2
1084	Multiply polynomial $ \, \color{blue}{ 96x } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1085	Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ 3x^2+4x-8 }$.	2
1086	Subtract polynomials: $ \, \color{blue}{ 2x^2+7 } \, $ , $ \, \color{orangered}{ x^2+2x+7 }$.	2
1087	Multiply polynomial $ \, \color{blue}{ -2 } \, $ by $ \, \color{orangered}{ 6v-3v-3 }$.	2
1088	Multiply polynomial $ \, \color{blue}{ -2 } \, $ by $ \, \color{orangered}{ 3v^2-3v-3 }$.	2
1089	Subtract polynomials: $ \, \color{blue}{ -4r^2+2 } \, $ , $ \, \color{orangered}{ 2r^2+5r }$.	2
1090	Multiply polynomial $ \, \color{blue}{ -2w^2 } \, $ by $ \, \color{orangered}{ w^2-4w-2 }$.	2
1091	Multiply polynomial $ \, \color{blue}{ -2+2x } \, $ by $ \, \color{orangered}{ -6+4x }$.	2
1092	Subtract polynomials: $ \, \color{blue}{ 6x^2+3x-8 } \, $ , $ \, \color{orangered}{ x^2-3x+4 }$.	2
1093	Multiply polynomial $ \, \color{blue}{ -7x^2-1 } \, $ by $ \, \color{orangered}{ x^2-x-5 }$.	2
1094	Subtract polynomials: $ \, \color{blue}{ 4x^2-1 } \, $ , $ \, \color{orangered}{ x^2-16 }$.	2
1095	Subtract polynomials: $ \, \color{blue}{ 12x^2-25x-7 } \, $ , $ \, \color{orangered}{ 6x^2-32x+32 }$.	2
1096	Subtract polynomials: $ \, \color{blue}{ 9x^2-6x+1 } \, $ , $ \, \color{orangered}{ x^2+12x+36 }$.	2
1097	Subtract polynomials: $ \, \color{blue}{ 3x^3-25x^2-44x+10 } \, $ , $ \, \color{orangered}{ 2x^3-7x^2-11x+7 }$.	2
1098	Add $ \, \color{blue}{ -5x-5 } \, $ and $ \, \color{orangered}{ -x^2 }$.	2
1099	Add $ \, \color{blue}{ -2x^3-x^2+8x-1 } \, $ and $ \, \color{orangered}{ 2x+9 }$.	2
1100	Add $ \, \color{blue}{ 7x+1 } \, $ and $ \, \color{orangered}{ 8x^2+3x+9 }$.	2