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
901	Subtract polynomials: $ \, \color{blue}{ 12x^5+4x^4+9x^3-10x^2+15 } \, $ , $ \, \color{orangered}{ 24x^5+9x^3-7x^2+8 }$.	2
902	Multiply polynomial $ \, \color{blue}{ 8x^4-20x^3-138x^2+401x-164 } \, $ by $ \, \color{orangered}{ x+1 }$.	2
903	Multiply polynomial $ \, \color{blue}{ 4x^2+8x+7 } \, $ by $ \, \color{orangered}{ x-5 }$.	2
904	Multiply polynomial $ \, \color{blue}{ 4x^3-12x^2-33x-35 } \, $ by $ \, \color{orangered}{ x+3 }$.	2
905	Multiply polynomial $ \, \color{blue}{ 4x^4-69x^2-134x-105 } \, $ by $ \, \color{orangered}{ 3x-1 }$.	2
906	Add $ \, \color{blue}{ 3x^2-8x^3-3 } \, $ and $ \, \color{orangered}{ 5x^2-6-5x^3 }$.	2
907	Multiply polynomial $ \, \color{blue}{ 6+8n^2-3n } \, $ by $ \, \color{orangered}{ -1+7n^3-3n^2 }$.	2
908	Add $ \, \color{blue}{ m+5m^2+7m^3 } \, $ and $ \, \color{orangered}{ 8m^3-m }$.	2
909	Subtract polynomials: $ \, \color{blue}{ b^4-b^3-7b^2+6 } \, $ , $ \, \color{orangered}{ 8b^4+3+5b-3b^2 }$.	2
910	Multiply polynomial $ \, \color{blue}{ a-7 } \, $ by $ \, \color{orangered}{ 8a-7 }$.	2
911	Multiply polynomial $ \, \color{blue}{ x^2+8x+2 } \, $ by $ \, \color{orangered}{ 2x-2 }$.	2
912	Multiply polynomial $ \, \color{blue}{ 2n^2-8n-4 } \, $ by $ \, \color{orangered}{ 3n+2 }$.	2
913	Multiply polynomial $ \, \color{blue}{ 6v^2-v-4 } \, $ by $ \, \color{orangered}{ 2v^2-7v-6 }$.	2
914	Multiply polynomial $ \, \color{blue}{ 5x^2+2x-4 } \, $ by $ \, \color{orangered}{ 8x^2+4x-5 }$.	2
915	Subtract polynomials: $ \, \color{blue}{ 16x+10 } \, $ , $ \, \color{orangered}{ 6x-2 }$.	2
916	Subtract polynomials: $ \, \color{blue}{ 5x^2+3 } \, $ , $ \, \color{orangered}{ 2x^2+4x-12 }$.	2
917	Multiply polynomial $ \, \color{blue}{ 2x^2+3x-6 } \, $ by $ \, \color{orangered}{ x-1 }$.	2
918	Subtract polynomials: $ \, \color{blue}{ 17x^2+7x-14 } \, $ , $ \, \color{orangered}{ -6x^2-5x-18 }$.	2
919	Subtract polynomials: $ \, \color{blue}{ -18x^2+4x-16 } \, $ , $ \, \color{orangered}{ 15x^2+4x-1 }$.	2
920	Add $ \, \color{blue}{ 4x^2-6x+7 } \, $ and $ \, \color{orangered}{ -19x^2-15x-18 }$.	2
921	Add $ \, \color{blue}{ 20x^2+15x+13 } \, $ and $ \, \color{orangered}{ -19x^2+17x+5 }$.	2
922	Add $ \, \color{blue}{ 9x^6-4x^5 } \, $ and $ \, \color{orangered}{ 10x^5-15x^4+14 }$.	2
923	Add $ \, \color{blue}{ x^2+2x-4 } \, $ and $ \, \color{orangered}{ 3x-5 }$.	2
924	Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ 2x+1 }$.	2
925	Multiply polynomial $ \, \color{blue}{ 3x+3 } \, $ by $ \, \color{orangered}{ 3x+3 }$.	2
926	Multiply polynomial $ \, \color{blue}{ x^2+x-2 } \, $ by $ \, \color{orangered}{ x-2 }$.	2
927	Multiply polynomial $ \, \color{blue}{ x-18 } \, $ by $ \, \color{orangered}{ x-1 }$.	2
928	Multiply polynomial $ \, \color{blue}{ 2x-19x+18 } \, $ by $ \, \color{orangered}{ 2x+10x+26 }$.	2
929	Multiply polynomial $ \, \color{blue}{ -2m } \, $ by $ \, \color{orangered}{ -4m^2-5 }$.	2
930	Multiply polynomial $ \, \color{blue}{ 3z+3 } \, $ by $ \, \color{orangered}{ 3z-3 }$.	2
931	Multiply polynomial $ \, \color{blue}{ 2f+2 } \, $ by $ \, \color{orangered}{ 4f+4 }$.	2
932	Multiply polynomial $ \, \color{blue}{ b-1 } \, $ by $ \, \color{orangered}{ b-1 }$.	2
933	Multiply polynomial $ \, \color{blue}{ t+1 } \, $ by $ \, \color{orangered}{ 3t-4 }$.	2
934	Add $ \, \color{blue}{ 2j^2 } \, $ and $ \, \color{orangered}{ 3j^2-3j-1 }$.	2
935	Multiply polynomial $ \, \color{blue}{ 2j^2 } \, $ by $ \, \color{orangered}{ 3j^2-3j-1 }$.	2
936	Multiply polynomial $ \, \color{blue}{ 2p+4 } \, $ by $ \, \color{orangered}{ 3p^2+3p+2 }$.	2
937	Multiply polynomial $ \, \color{blue}{ 4b+1 } \, $ by $ \, \color{orangered}{ -3b^2+4b+1 }$.	2
938	Multiply polynomial $ \, \color{blue}{ 4g-4 } \, $ by $ \, \color{orangered}{ g+4 }$.	2
939	Multiply polynomial $ \, \color{blue}{ w-1 } \, $ by $ \, \color{orangered}{ w+1 }$.	2
940	Multiply polynomial $ \, \color{blue}{ g+4 } \, $ by $ \, \color{orangered}{ g+4 }$.	2
941	Multiply polynomial $ \, \color{blue}{ q+4 } \, $ by $ \, \color{orangered}{ q-4 }$.	2
942	Multiply polynomial $ \, \color{blue}{ 3z-3 } \, $ by $ \, \color{orangered}{ 2z+4 }$.	2
943	Multiply polynomial $ \, \color{blue}{ 4x-2 } \, $ by $ \, \color{orangered}{ -4x^2-x+1 }$.	2
944	Multiply polynomial $ \, \color{blue}{ 4b-4 } \, $ by $ \, \color{orangered}{ 4b^2+3b-3 }$.	2
945	Multiply polynomial $ \, \color{blue}{ x^2+x+2 } \, $ by $ \, \color{orangered}{ x^2-10x }$.	2
946	Multiply polynomial $ \, \color{blue}{ x^2-8x+4 } \, $ by $ \, \color{orangered}{ x-5 }$.	2
947	Multiply polynomial $ \, \color{blue}{ x^2+2x+3 } \, $ by $ \, \color{orangered}{ 4x-4 }$.	2
948	Multiply polynomial $ \, \color{blue}{ x^2-x+3 } \, $ by $ \, \color{orangered}{ x^3-x+3 }$.	2
949	Multiply polynomial $ \, \color{blue}{ 2x^2-5x-2 } \, $ by $ \, \color{orangered}{ 2x^2-3x+6 }$.	2
950	Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ 3x+5 }$.	2