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
1151	Subtract polynomials: $ \, \color{blue}{ x^2-1 } \, $ , $ \, \color{orangered}{ 1-4x }$.	2
1152	Add $ \, \color{blue}{ 2x-1 } \, $ and $ \, \color{orangered}{ 4x-2 }$.	2
1153	Subtract polynomials: $ \, \color{blue}{ 3x^2+x-3 } \, $ , $ \, \color{orangered}{ 4x-2 }$.	2
1154	Add $ \, \color{blue}{ -9x^4+19x^2-8x-12 } \, $ and $ \, \color{orangered}{ -6x }$.	2
1155	Multiply polynomial $ \, \color{blue}{ 3x0 } \, $ by $ \, \color{orangered}{ 3x0 }$.	2
1156	Add $ \, \color{blue}{ -7x^2+3x-10 } \, $ and $ \, \color{orangered}{ -6x^2-10x+3 }$.	2
1157	Add $ \, \color{blue}{ 2x^2-6x-5 } \, $ and $ \, \color{orangered}{ -9x^2+5x-4 }$.	2
1158	Add $ \, \color{blue}{ -3x^2+3x-8 } \, $ and $ \, \color{orangered}{ 6x^2-4x }$.	2
1159	Subtract polynomials: $ \, \color{blue}{ -8x^2-5x+8 } \, $ , $ \, \color{orangered}{ -6x^2+3x-3 }$.	2
1160	Subtract polynomials: $ \, \color{blue}{ 5+7x^3+3x^2 } \, $ , $ \, \color{orangered}{ -12+5x+6x^2 }$.	2
1161	Multiply polynomial $ \, \color{blue}{ 2n+3 } \, $ by $ \, \color{orangered}{ n-2 }$.	2
1162	Multiply polynomial $ \, \color{blue}{ 3x+5 } \, $ by $ \, \color{orangered}{ 3x-6 }$.	2
1163	Multiply polynomial $ \, \color{blue}{ -4x^2-5x-1 } \, $ by $ \, \color{orangered}{ 4x^2-6x-2 }$.	2
1164	Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$.	2
1165	Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$.	2
1166	Add $ \, \color{blue}{ x+8 } \, $ and $ \, \color{orangered}{ x+5 }$.	2
1167	Add $ \, \color{blue}{ 4x+2 } \, $ and $ \, \color{orangered}{ 4x-5 }$.	2
1168	Subtract polynomials: $ \, \color{blue}{ 3x-2 } \, $ , $ \, \color{orangered}{ 2x+1 }$.	2
1169	Subtract polynomials: $ \, \color{blue}{ 2x^9+12x+x^5-8x^4 } \, $ , $ \, \color{orangered}{ 6x^{10}+11x^7+8x^5+2x^4 }$.	2
1170	Subtract polynomials: $ \, \color{blue}{ 106 } \, $ , $ \, \color{orangered}{ 0 }$.	2
1171	Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 2x-9 }$.	2
1172	Add $ \, \color{blue}{ 3x+2 } \, $ and $ \, \color{orangered}{ 2x-9 }$.	2
1173	Subtract polynomials: $ \, \color{blue}{ -3x-2 } \, $ , $ \, \color{orangered}{ 12x-4x+9 }$.	2
1174	Subtract polynomials: $ \, \color{blue}{ -3x-2 } \, $ , $ \, \color{orangered}{ 6x^2-4x+9 }$.	2
1175	Subtract polynomials: $ \, \color{blue}{ -10x+3 } \, $ , $ \, \color{orangered}{ 7x^2+5x+10 }$.	2
1176	Subtract polynomials: $ \, \color{blue}{ x^2+2x-4 } \, $ , $ \, \color{orangered}{ -12x+3x-3 }$.	2
1177	Subtract polynomials: $ \, \color{blue}{ 10x^2+3 } \, $ , $ \, \color{orangered}{ 9x^2+4x+1 }$.	2
1178	Subtract polynomials: $ \, \color{blue}{ 9x^2+4x } \, $ , $ \, \color{orangered}{ 4x^2-7 }$.	2
1179	Subtract polynomials: $ \, \color{blue}{ 10x+10 } \, $ , $ \, \color{orangered}{ 7x^2+5x-8 }$.	2
1180	Subtract polynomials: $ \, \color{blue}{ -x+2 } \, $ , $ \, \color{orangered}{ x^2+9x-2 }$.	2
1181	Subtract polynomials: $ \, \color{blue}{ x+3 } \, $ , $ \, \color{orangered}{ 3x^2+6x-4 }$.	2
1182	Subtract polynomials: $ \, \color{blue}{ 3x-4 } \, $ , $ \, \color{orangered}{ x^2+6x+7 }$.	2
1183	Add $ \, \color{blue}{ x^2-5x+13 } \, $ and $ \, \color{orangered}{ x^2-2x+7 }$.	2
1184	Add $ \, \color{blue}{ x^2-5x+13 } \, $ and $ \, \color{orangered}{ x^2+3x-6 }$.	2
1185	Multiply polynomial $ \, \color{blue}{ 2x^4-5x^3+4x^2-5 } \, $ by $ \, \color{orangered}{ 2x^3-5x^2-10 }$.	2
1186	Multiply polynomial $ \, \color{blue}{ x^2-5x+4 } \, $ by $ \, \color{orangered}{ x-2 }$.	2
1187	Subtract polynomials: $ \, \color{blue}{ 8a-6a+2 } \, $ , $ \, \color{orangered}{ 2a+3a-5 }$.	2
1188	Subtract polynomials: $ \, \color{blue}{ 12m+8m-3 } \, $ , $ \, \color{orangered}{ 4m-m+4 }$.	2
1189	Multiply polynomial $ \, \color{blue}{ 2x^3 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1190	Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x+6 }$.	2
1191	Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 3x^2+2x-1 }$.	2
1192	Subtract polynomials: $ \, \color{blue}{ 4x+16 } \, $ , $ \, \color{orangered}{ x-4 }$.	2
1193	Add $ \, \color{blue}{ 3x^4-13x } \, $ and $ \, \color{orangered}{ 2x-x^4 }$.	2
1194	Add $ \, \color{blue}{ x^2-x } \, $ and $ \, \color{orangered}{ 8x-2x^2 }$.	2
1195	Add $ \, \color{blue}{ 2a^2+4a^3 } \, $ and $ \, \color{orangered}{ 3a^3+8 }$.	2
1196	Add $ \, \color{blue}{ 20v^2-9v^3 } \, $ and $ \, \color{orangered}{ 7v^3-10v^4-11v^2 }$.	2
1197	Add $ \, \color{blue}{ -x^3 } \, $ and $ \, \color{orangered}{ 24x^3 }$.	2
1198	Subtract polynomials: $ \, \color{blue}{ 2a^2+4a^3 } \, $ , $ \, \color{orangered}{ 3a^3+8 }$.	2
1199	Multiply polynomial $ \, \color{blue}{ -4x^4+10x } \, $ by $ \, \color{orangered}{ 5x^3-1 }$.	2
1200	Multiply polynomial $ \, \color{blue}{ -5t^3 } \, $ by $ \, \color{orangered}{ 6t^7-9t }$.	2