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	Subtract polynomials: $ \, \color{blue}{ -3t^2+2t+2 } \, $ , $ \, \color{orangered}{ -2t^2-7t-1 }$.	2
1102	Multiply polynomial $ \, \color{blue}{ 4t+1 } \, $ by $ \, \color{orangered}{ 2t-1 }$.	2
1103	Multiply polynomial $ \, \color{blue}{ 4c+1 } \, $ by $ \, \color{orangered}{ -4c^2+3c-1 }$.	2
1104	Multiply polynomial $ \, \color{blue}{ -2g^3+11g^2-10g-14 } \, $ by $ \, \color{orangered}{ g-2 }$.	2
1105	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
1106	Multiply polynomial $ \, \color{blue}{ s^4+26s^3+223s^2+630s } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
1107	Add $ \, \color{blue}{ 20s^7+360s^6+2700s^5+11200s^4+27480s^3+37440s^2+21600s } \, $ and $ \, \color{orangered}{ s^7+36s^6+512s^5+3634s^4+13287s^3+22730s^2+12600s }$.	2
1108	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$.	2
1109	Multiply polynomial $ \, \color{blue}{ s^3+10s^2+29s+20 } \, $ by $ \, \color{orangered}{ s^4+26s^3+223s^2+630s }$.	2
1110	Subtract polynomials: $ \, \color{blue}{ 20s^7+360s^6+2700s^5+11200s^4+27480s^3+37440s^2+21600s } \, $ , $ \, \color{orangered}{ s^7+36s^6+512s^5+3634s^4+13287s^3+22730s^2+12600s }$.	2
1111	Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$.	2
1112	Multiply polynomial $ \, \color{blue}{ 8x+2 } \, $ by $ \, \color{orangered}{ 7x+6 }$.	2
1113	Multiply polynomial $ \, \color{blue}{ 8x-6 } \, $ by $ \, \color{orangered}{ 3x-2 }$.	2
1114	Subtract polynomials: $ \, \color{blue}{ 3x^5+7x^2-4x+8 } \, $ , $ \, \color{orangered}{ 4x^4+16x-3x+7 }$.	2
1115	Multiply polynomial $ \, \color{blue}{ x-14 } \, $ by $ \, \color{orangered}{ x+4 }$.	2
1116	Subtract polynomials: $ \, \color{blue}{ 12-11x-5x^5 } \, $ , $ \, \color{orangered}{ 4x^4+8x-4x^5+2x^3-1 }$.	2
1117	Add $ \, \color{blue}{ x^3-5x^2+3x-7 } \, $ and $ \, \color{orangered}{ x^2-6x+5 }$.	2
1118	Multiply polynomial $ \, \color{blue}{ x^2-6x+5 } \, $ by $ \, \color{orangered}{ x^3-5x^2+3x-7 }$.	2
1119	Add $ \, \color{blue}{ 6x^2-11x+4 } \, $ and $ \, \color{orangered}{ x^2+10x-3x^3 }$.	2
1120	Multiply polynomial $ \, \color{blue}{ x^4 } \, $ by $ \, \color{orangered}{ x^3 }$.	2
1121	Multiply polynomial $ \, \color{blue}{ 5x^2+8x+8 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
1122	Subtract polynomials: $ \, \color{blue}{ -18x^2+x-32 } \, $ , $ \, \color{orangered}{ 40-x^2 }$.	2
1123	Subtract polynomials: $ \, \color{blue}{ -18x^2+x-32 } \, $ , $ \, \color{orangered}{ 40-13x^2 }$.	2
1124	Multiply polynomial $ \, \color{blue}{ x^2+2x-24 } \, $ by $ \, \color{orangered}{ x+6 }$.	2
1125	Multiply polynomial $ \, \color{blue}{ 2x^2+6x-13 } \, $ by $ \, \color{orangered}{ x-9 }$.	2
1126	Multiply polynomial $ \, \color{blue}{ 3x^2+5x-28 } \, $ by $ \, \color{orangered}{ 3x-7 }$.	2
1127	Add $ \, \color{blue}{ x^2 } \, $ and $ \, \color{orangered}{ -2x^2 }$.	2
1128	Multiply polynomial $ \, \color{blue}{ m^2-2m+1 } \, $ by $ \, \color{orangered}{ m^2-m+2 }$.	2
1129	Subtract polynomials: $ \, \color{blue}{ 2x^2+53x+75 } \, $ , $ \, \color{orangered}{ x^2+5x+5 }$.	2
1130	Add $ \, \color{blue}{ x^2 } \, $ and $ \, \color{orangered}{ x }$.	2
1131	Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ x }$.	2
1132	Add $ \, \color{blue}{ x+3 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
1133	Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x+2 }$.	2
1134	Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ 6x+1 }$.	2
1135	Multiply polynomial $ \, \color{blue}{ 3x+4 } \, $ by $ \, \color{orangered}{ x^2-3x-3 }$.	2
1136	Multiply polynomial $ \, \color{blue}{ r-1 } \, $ by $ \, \color{orangered}{ r^2-2r+3 }$.	2
1137	Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^3+x^2+x+1 }$.	2
1138	Multiply polynomial $ \, \color{blue}{ x^3+8 } \, $ by $ \, \color{orangered}{ x-2 }$.	2
1139	Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^3 }$.	2
1140	Add $ \, \color{blue}{ 2x^2-3x+5 } \, $ and $ \, \color{orangered}{ x-5 }$.	2
1141	Subtract polynomials: $ \, \color{blue}{ 2x-3 } \, $ , $ \, \color{orangered}{ 5x^2 }$.	2
1142	Add $ \, \color{blue}{ 3x^2-2x+4 } \, $ and $ \, \color{orangered}{ -3x^2+6x-10 }$.	2
1143	Multiply polynomial $ \, \color{blue}{ -2x+4 } \, $ by $ \, \color{orangered}{ 6x-10 }$.	2
1144	Multiply polynomial $ \, \color{blue}{ x^2-9x-10 } \, $ by $ \, \color{orangered}{ x-10 }$.	2
1145	Add $ \, \color{blue}{ 6m^5+1 } \, $ and $ \, \color{orangered}{ 2m^5+9m-1 }$.	2
1146	Add $ \, \color{blue}{ 3m^5+1 } \, $ and $ \, \color{orangered}{ 9m^5+3m-2 }$.	2
1147	Add $ \, \color{blue}{ -5x^2-x+4 } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$.	2
1148	Add $ \, \color{blue}{ -4x+4x^3+7+3x^3-9-3x } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$.	2
1149	Add $ \, \color{blue}{ -4x+4x^3+7 } \, $ and $ \, \color{orangered}{ -3x^3-9+3x }$.	2
1150	Add $ \, \color{blue}{ 3x^2-2x+1 } \, $ and $ \, \color{orangered}{ -x^2+3x+1 }$.	2