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}{ x^3-12x^2+20x+90 } \, $ by $ \, \color{orangered}{ x-6 }$.	2
1052	Add $ \, \color{blue}{ 5x^2+2x-4 } \, $ and $ \, \color{orangered}{ x^2-3x+4 }$.	2
1053	Subtract polynomials: $ \, \color{blue}{ x^2+6x-10 } \, $ , $ \, \color{orangered}{ -8x^2-3x }$.	2
1054	Subtract polynomials: $ \, \color{blue}{ -5x^2+7x+2 } \, $ , $ \, \color{orangered}{ -5x^2-7x+2 }$.	2
1055	Multiply polynomial $ \, \color{blue}{ -7x^2-8x-1 } \, $ by $ \, \color{orangered}{ -x^2-5x+1 }$.	2
1056	Multiply polynomial $ \, \color{blue}{ -7x^2-3x+5 } \, $ by $ \, \color{orangered}{ 7x^2-6x+7 }$.	2
1057	Add $ \, \color{blue}{ x-x^4-3x^3 } \, $ and $ \, \color{orangered}{ -6x^3-7x^2-x }$.	2
1058	Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^3+6x^2+25x+44 }$.	2
1059	Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^3+6x^2-25x-6 }$.	2
1060	Multiply polynomial $ \, \color{blue}{ 96x } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1061	Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ 3x^2+4x-8 }$.	2
1062	Subtract polynomials: $ \, \color{blue}{ 2x^2+7 } \, $ , $ \, \color{orangered}{ x^2+2x+7 }$.	2
1063	Multiply polynomial $ \, \color{blue}{ -2 } \, $ by $ \, \color{orangered}{ 6v-3v-3 }$.	2
1064	Multiply polynomial $ \, \color{blue}{ -2 } \, $ by $ \, \color{orangered}{ 3v^2-3v-3 }$.	2
1065	Subtract polynomials: $ \, \color{blue}{ -4r^2+2 } \, $ , $ \, \color{orangered}{ 2r^2+5r }$.	2
1066	Multiply polynomial $ \, \color{blue}{ -2w^2 } \, $ by $ \, \color{orangered}{ w^2-4w-2 }$.	2
1067	Multiply polynomial $ \, \color{blue}{ -2+2x } \, $ by $ \, \color{orangered}{ -6+4x }$.	2
1068	Subtract polynomials: $ \, \color{blue}{ 6x^2+3x-8 } \, $ , $ \, \color{orangered}{ x^2-3x+4 }$.	2
1069	Multiply polynomial $ \, \color{blue}{ -7x^2-1 } \, $ by $ \, \color{orangered}{ x^2-x-5 }$.	2
1070	Subtract polynomials: $ \, \color{blue}{ 4x^2-1 } \, $ , $ \, \color{orangered}{ x^2-16 }$.	2
1071	Subtract polynomials: $ \, \color{blue}{ 12x^2-25x-7 } \, $ , $ \, \color{orangered}{ 6x^2-32x+32 }$.	2
1072	Subtract polynomials: $ \, \color{blue}{ 9x^2-6x+1 } \, $ , $ \, \color{orangered}{ x^2+12x+36 }$.	2
1073	Add $ \, \color{blue}{ -5x-5 } \, $ and $ \, \color{orangered}{ -x^2 }$.	2
1074	Add $ \, \color{blue}{ -2x^3-x^2+8x-1 } \, $ and $ \, \color{orangered}{ 2x+9 }$.	2
1075	Add $ \, \color{blue}{ 7x+1 } \, $ and $ \, \color{orangered}{ 8x^2+3x+9 }$.	2
1076	Add $ \, \color{blue}{ 2x+2 } \, $ and $ \, \color{orangered}{ -4x^3-5x^2-8 }$.	2
1077	Subtract polynomials: $ \, \color{blue}{ x^2+2x-9 } \, $ , $ \, \color{orangered}{ 8x-8 }$.	2
1078	Subtract polynomials: $ \, \color{blue}{ 5x+6 } \, $ , $ \, \color{orangered}{ 5x^3+4x^2-9x+2 }$.	2
1079	Subtract polynomials: $ \, \color{blue}{ -5x^2+6x+6 } \, $ , $ \, \color{orangered}{ -6x^2+5 }$.	2
1080	Subtract polynomials: $ \, \color{blue}{ 3x^2-10x-2 } \, $ , $ \, \color{orangered}{ -6x-3 }$.	2
1081	Subtract polynomials: $ \, \color{blue}{ -8x^2-5x+8 } \, $ , $ \, \color{orangered}{ 6x^2-3x+3 }$.	2
1082	Multiply polynomial $ \, \color{blue}{ 8q-3 } \, $ by $ \, \color{orangered}{ 4q+7 }$.	2
1083	Add $ \, \color{blue}{ 3a-4a } \, $ and $ \, \color{orangered}{ 6a-12a }$.	2
1084	Multiply polynomial $ \, \color{blue}{ 2b+4 } \, $ by $ \, \color{orangered}{ 8b+3b-4 }$.	2
1085	Multiply polynomial $ \, \color{blue}{ 32x-81 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1086	Multiply polynomial $ \, \color{blue}{ 3a+3 } \, $ by $ \, \color{orangered}{ 3a-2 }$.	2
1087	Multiply polynomial $ \, \color{blue}{ 3x+5 } \, $ by $ \, \color{orangered}{ 7x-4 }$.	2
1088	Multiply polynomial $ \, \color{blue}{ k-2 } \, $ by $ \, \color{orangered}{ 6k+1 }$.	2
1089	Multiply polynomial $ \, \color{blue}{ 3x+x^2 } \, $ by $ \, \color{orangered}{ 1+6x }$.	2
1090	Subtract polynomials: $ \, \color{blue}{ -8x^2-3x } \, $ , $ \, \color{orangered}{ x^2+6x-10 }$.	2
1091	Subtract polynomials: $ \, \color{blue}{ 3x^2+6x+6 } \, $ , $ \, \color{orangered}{ 2x^2+3x+3 }$.	2
1092	Add $ \, \color{blue}{ 9d^2+8d+1 } \, $ and $ \, \color{orangered}{ 7d^2+d+5 }$.	2
1093	Subtract polynomials: $ \, \color{blue}{ 6b+9 } \, $ , $ \, \color{orangered}{ 3b+1 }$.	2
1094	Subtract polynomials: $ \, \color{blue}{ 8w^2+7w+9 } \, $ , $ \, \color{orangered}{ 4w^2+6 }$.	2
1095	Add $ \, \color{blue}{ -2x+8 } \, $ and $ \, \color{orangered}{ -2x^2+4 }$.	2
1096	Subtract polynomials: $ \, \color{blue}{ 9f+8 } \, $ , $ \, \color{orangered}{ 8f+8 }$.	2
1097	Add $ \, \color{blue}{ 6g^2+3g+7 } \, $ and $ \, \color{orangered}{ 6g^2+9g+4 }$.	2
1098	Subtract polynomials: $ \, \color{blue}{ 6a^4-3a^3-2a^2 } \, $ , $ \, \color{orangered}{ -2a^3-3a^2-4a }$.	2
1099	Subtract polynomials: $ \, \color{blue}{ 9a^6+3a^5 } \, $ , $ \, \color{orangered}{ 4a^4-3a^2+9 }$.	2
1100	Subtract polynomials: $ \, \color{blue}{ -3n^3+n^2 } \, $ , $ \, \color{orangered}{ 10n+9 }$.	2