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
801	Subtract polynomials: $ \, \color{blue}{ 4x+16 } \, $ , $ \, \color{orangered}{ x-4 }$.	2
802	Add $ \, \color{blue}{ 3x^4-13x } \, $ and $ \, \color{orangered}{ 2x-x^4 }$.	2
803	Add $ \, \color{blue}{ x^2-x } \, $ and $ \, \color{orangered}{ 8x-2x^2 }$.	2
804	Add $ \, \color{blue}{ 2a^2+4a^3 } \, $ and $ \, \color{orangered}{ 3a^3+8 }$.	2
805	Add $ \, \color{blue}{ 20v^2-9v^3 } \, $ and $ \, \color{orangered}{ 7v^3-10v^4-11v^2 }$.	2
806	Add $ \, \color{blue}{ -x^3 } \, $ and $ \, \color{orangered}{ 24x^3 }$.	2
807	Subtract polynomials: $ \, \color{blue}{ 2a^2+4a^3 } \, $ , $ \, \color{orangered}{ 3a^3+8 }$.	2
808	Multiply polynomial $ \, \color{blue}{ -4x^4+10x } \, $ by $ \, \color{orangered}{ 5x^3-1 }$.	2
809	Multiply polynomial $ \, \color{blue}{ -5t^3 } \, $ by $ \, \color{orangered}{ 6t^7-9t }$.	2
810	Add $ \, \color{blue}{ 8x^3+14x+8 } \, $ and $ \, \color{orangered}{ 2x+1 }$.	2
811	Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+3 }$.	2
812	Multiply polynomial $ \, \color{blue}{ 2x^2-3x } \, $ by $ \, \color{orangered}{ x-7 }$.	2
813	Add $ \, \color{blue}{ -3+5x } \, $ and $ \, \color{orangered}{ -3x^2+6x^3+1-6x }$.	2
814	Multiply polynomial $ \, \color{blue}{ 2x^2+9x+7 } \, $ by $ \, \color{orangered}{ 2x^2+9x+7 }$.	2
815	Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ 4x^2+28+49 }$.	2
816	Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ 4x^2+28x+49 }$.	2
817	Subtract polynomials: $ \, \color{blue}{ 2x+3 } \, $ , $ \, \color{orangered}{ x^2+3x }$.	2
818	Subtract polynomials: $ \, \color{blue}{ x^2-4+6 } \, $ , $ \, \color{orangered}{ 2x^2+x-3 }$.	2
819	Add $ \, \color{blue}{ 2x^3+x^2-x+5 } \, $ and $ \, \color{orangered}{ x^3-3x^2+4x-2 }$.	2
820	Add $ \, \color{blue}{ x^5+x^4+x^3+x^2+x } \, $ and $ \, \color{orangered}{ 2x^5-x^4+x^3-3x^2+x-1 }$.	2
821	Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^2-x+1 }$.	2
822	Multiply polynomial $ \, \color{blue}{ x^2+x+1 } \, $ by $ \, \color{orangered}{ x^2-x+1 }$.	2
823	Multiply polynomial $ \, \color{blue}{ x^3+2x^2+x+1 } \, $ by $ \, \color{orangered}{ x+1 }$.	2
824	Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 2x^2-3x+5 }$.	2
825	Add $ \, \color{blue}{ 12x+3x-7+6x+5x-4 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
826	Add $ \, \color{blue}{ 12x+3x-7+6x+5x-4+22x-4 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
827	Add $ \, \color{blue}{ 5x-4+3x-7+24x-5 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
828	Add $ \, \color{blue}{ 5x^4+3x^2-6x+8-x^2-2-x^2-2 } \, $ and $ \, \color{orangered}{ 2x+5 }$.	2
829	Add $ \, \color{blue}{ 3-2p-5p^2 } \, $ and $ \, \color{orangered}{ p^4-3p+4 }$.	2
830	Add $ \, \color{blue}{ 3x^2-2 } \, $ and $ \, \color{orangered}{ 11-5x }$.	2
831	Subtract polynomials: $ \, \color{blue}{ 2x^2+6x+1 } \, $ , $ \, \color{orangered}{ 3x^2+3x+9 }$.	2
832	Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ x+3 }$.	2
833	Multiply polynomial $ \, \color{blue}{ 4x^2-x+16 } \, $ by $ \, \color{orangered}{ x^2+3x+4 }$.	2
834	Add $ \, \color{blue}{ 3x^2-2 } \, $ and $ \, \color{orangered}{ 11-5x }$.	2
835	Multiply polynomial $ \, \color{blue}{ -8x+7 } \, $ by $ \, \color{orangered}{ 2x+5 }$.	2
836	Subtract polynomials: $ \, \color{blue}{ 7b^2-2b-5 } \, $ , $ \, \color{orangered}{ -4b^2+6b-9 }$.	2
837	Add $ \, \color{blue}{ 7x^2-3x+10 } \, $ and $ \, \color{orangered}{ -4x^2+6x-4 }$.	2
838	Add $ \, \color{blue}{ 2y^2+7y+11 } \, $ and $ \, \color{orangered}{ 8y^2-5y+7 }$.	2
839	Subtract polynomials: $ \, \color{blue}{ 2y^2+7y+11 } \, $ , $ \, \color{orangered}{ 8y^2-5y+7 }$.	2
840	Add $ \, \color{blue}{ 6c^2-2c-1 } \, $ and $ \, \color{orangered}{ -4c^2+7c+5 }$.	2
841	Subtract polynomials: $ \, \color{blue}{ p^2-5p+4 } \, $ , $ \, \color{orangered}{ 4p^2-9p+11 }$.	2
842	Subtract polynomials: $ \, \color{blue}{ -3a^2+2a-5 } \, $ , $ \, \color{orangered}{ -2a^2+a+6 }$.	2
843	Subtract polynomials: $ \, \color{blue}{ 10a^2+3a+25 } \, $ , $ \, \color{orangered}{ 9a^2-6a+5 }$.	2
844	Add $ \, \color{blue}{ -8r^2+11r-6 } \, $ and $ \, \color{orangered}{ -7r^2-9r+14 }$.	2
845	Multiply polynomial $ \, \color{blue}{ t^2+7t+6 } \, $ by $ \, \color{orangered}{ 2t+1 }$.	2
846	Multiply polynomial $ \, \color{blue}{ x+9 } \, $ by $ \, \color{orangered}{ x^2+9x }$.	2
847	Multiply polynomial $ \, \color{blue}{ c^3+6c^2+2c } \, $ by $ \, \color{orangered}{ c^2+1 }$.	2
848	Multiply polynomial $ \, \color{blue}{ b^3+b^2 } \, $ by $ \, \color{orangered}{ b^2+7b+4 }$.	2
849	Multiply polynomial $ \, \color{blue}{ 2-5y } \, $ by $ \, \color{orangered}{ y^2+6y+9 }$.	2
850	Multiply polynomial $ \, \color{blue}{ q^2-2q+5 } \, $ by $ \, \color{orangered}{ q^2-5 }$.	2