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
1101	Add $ \, \color{blue}{ 2x+2 } \, $ and $ \, \color{orangered}{ -4x^3-5x^2-8 }$.	2
1102	Subtract polynomials: $ \, \color{blue}{ x^2+2x-9 } \, $ , $ \, \color{orangered}{ 8x-8 }$.	2
1103	Subtract polynomials: $ \, \color{blue}{ 5x+6 } \, $ , $ \, \color{orangered}{ 5x^3+4x^2-9x+2 }$.	2
1104	Subtract polynomials: $ \, \color{blue}{ -5x^2+6x+6 } \, $ , $ \, \color{orangered}{ -6x^2+5 }$.	2
1105	Subtract polynomials: $ \, \color{blue}{ 3x^2-10x-2 } \, $ , $ \, \color{orangered}{ -6x-3 }$.	2
1106	Subtract polynomials: $ \, \color{blue}{ -8x^2-5x+8 } \, $ , $ \, \color{orangered}{ 6x^2-3x+3 }$.	2
1107	Multiply polynomial $ \, \color{blue}{ 8q-3 } \, $ by $ \, \color{orangered}{ 4q+7 }$.	2
1108	Add $ \, \color{blue}{ 3a-4a } \, $ and $ \, \color{orangered}{ 6a-12a }$.	2
1109	Multiply polynomial $ \, \color{blue}{ 2b+4 } \, $ by $ \, \color{orangered}{ 8b+3b-4 }$.	2
1110	Multiply polynomial $ \, \color{blue}{ 32x-81 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1111	Multiply polynomial $ \, \color{blue}{ 3a+3 } \, $ by $ \, \color{orangered}{ 3a-2 }$.	2
1112	Multiply polynomial $ \, \color{blue}{ 3x+5 } \, $ by $ \, \color{orangered}{ 7x-4 }$.	2
1113	Multiply polynomial $ \, \color{blue}{ k-2 } \, $ by $ \, \color{orangered}{ 6k+1 }$.	2
1114	Multiply polynomial $ \, \color{blue}{ 3x+x^2 } \, $ by $ \, \color{orangered}{ 1+6x }$.	2
1115	Subtract polynomials: $ \, \color{blue}{ -8x^2-3x } \, $ , $ \, \color{orangered}{ x^2+6x-10 }$.	2
1116	Subtract polynomials: $ \, \color{blue}{ 3x^2+6x+6 } \, $ , $ \, \color{orangered}{ 2x^2+3x+3 }$.	2
1117	Add $ \, \color{blue}{ 9d^2+8d+1 } \, $ and $ \, \color{orangered}{ 7d^2+d+5 }$.	2
1118	Subtract polynomials: $ \, \color{blue}{ 6b+9 } \, $ , $ \, \color{orangered}{ 3b+1 }$.	2
1119	Subtract polynomials: $ \, \color{blue}{ 8w^2+7w+9 } \, $ , $ \, \color{orangered}{ 4w^2+6 }$.	2
1120	Add $ \, \color{blue}{ -2x+8 } \, $ and $ \, \color{orangered}{ -2x^2+4 }$.	2
1121	Subtract polynomials: $ \, \color{blue}{ 9f+8 } \, $ , $ \, \color{orangered}{ 8f+8 }$.	2
1122	Add $ \, \color{blue}{ 6g^2+3g+7 } \, $ and $ \, \color{orangered}{ 6g^2+9g+4 }$.	2
1123	Subtract polynomials: $ \, \color{blue}{ 6a^4-3a^3-2a^2 } \, $ , $ \, \color{orangered}{ -2a^3-3a^2-4a }$.	2
1124	Subtract polynomials: $ \, \color{blue}{ 9a^6+3a^5 } \, $ , $ \, \color{orangered}{ 4a^4-3a^2+9 }$.	2
1125	Subtract polynomials: $ \, \color{blue}{ -3n^3+n^2 } \, $ , $ \, \color{orangered}{ 10n+9 }$.	2
1126	Multiply polynomial $ \, \color{blue}{ 8a-2 } \, $ by $ \, \color{orangered}{ 3a^2+2a-2 }$.	2
1127	Add $ \, \color{blue}{ 3v^4-2+8v^2 } \, $ and $ \, \color{orangered}{ 6v^2+4-7v }$.	2
1128	Subtract polynomials: $ \, \color{blue}{ 4v^2-5-v^3 } \, $ , $ \, \color{orangered}{ 3-6v^3-3v^2 }$.	2
1129	Subtract polynomials: $ \, \color{blue}{ 8y^2-5y+7 } \, $ , $ \, \color{orangered}{ 2y^2+7y+11 }$.	2
1130	Add $ \, \color{blue}{ -t^4-5t^3-10t^2 } \, $ and $ \, \color{orangered}{ 9t^3+3t^2-1 }$.	2
1131	Subtract polynomials: $ \, \color{blue}{ 2j+2 } \, $ , $ \, \color{orangered}{ 5j+6 }$.	2
1132	Add $ \, \color{blue}{ 5u-5 } \, $ and $ \, \color{orangered}{ -u+1 }$.	2
1133	Multiply polynomial $ \, \color{blue}{ 7x-5 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1134	Multiply polynomial $ \, \color{blue}{ 7x-5 } \, $ by $ \, \color{orangered}{ 9x^2-4x+2 }$.	2
1135	Add $ \, \color{blue}{ 2x+4x-5 } \, $ and $ \, \color{orangered}{ -5x^2+3x+1 }$.	2
1136	Subtract polynomials: $ \, \color{blue}{ 6x-5x^4 } \, $ , $ \, \color{orangered}{ 4x^4+6x^3+3x^2 }$.	2
1137	Multiply polynomial $ \, \color{blue}{ 4x+1 } \, $ by $ \, \color{orangered}{ 3x+5 }$.	2
1138	Multiply polynomial $ \, \color{blue}{ 2x+1 } \, $ by $ \, \color{orangered}{ -4x-3 }$.	2
1139	Multiply polynomial $ \, \color{blue}{ 2x-7 } \, $ by $ \, \color{orangered}{ 2x^2+2x-1 }$.	2
1140	Add $ \, \color{blue}{ -7x-8x^4 } \, $ and $ \, \color{orangered}{ -7x^4+1-2x }$.	2
1141	Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ -5x+1 }$.	2
1142	Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ x^2+5x-1 }$.	2
1143	Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ 2x-1 }$.	2
1144	Multiply polynomial $ \, \color{blue}{ 3x^2-5x+3 } \, $ by $ \, \color{orangered}{ -2x^2-3x+2 }$.	2
1145	Multiply polynomial $ \, \color{blue}{ x^2-2x-1 } \, $ by $ \, \color{orangered}{ 2x^2+4x-6 }$.	2
1146	Multiply polynomial $ \, \color{blue}{ x^2+2x-2 } \, $ by $ \, \color{orangered}{ 3x^2-x-9 }$.	2
1147	Multiply polynomial $ \, \color{blue}{ x^2-3x-2 } \, $ by $ \, \color{orangered}{ x^2+3x-7 }$.	2
1148	Multiply polynomial $ \, \color{blue}{ 2x+6 } \, $ by $ \, \color{orangered}{ x+3 }$.	2
1149	Subtract polynomials: $ \, \color{blue}{ x^3+4x^2-25x-100 } \, $ , $ \, \color{orangered}{ 10x+50 }$.	2
1150	Subtract polynomials: $ \, \color{blue}{ x^2-1 } \, $ , $ \, \color{orangered}{ 2x-3 }$.	2