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
751	Subtract polynomials: $ \, \color{blue}{ 6x^3-4x^2+10x-7 } \, $ , $ \, \color{orangered}{ x^3-4x^2-2x+10 }$.	2
752	Add $ \, \color{blue}{ -5x^3+4x^2-8x+9 } \, $ and $ \, \color{orangered}{ 10x^3+10x^2-6x-3 }$.	2
753	Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^2-5x+6 }$.	2
754	Add $ \, \color{blue}{ 3u+6 } \, $ and $ \, \color{orangered}{ u^2+4 }$.	2
755	Multiply polynomial $ \, \color{blue}{ 2 } \, $ by $ \, \color{orangered}{ -3g^2-9 }$.	2
756	Add $ \, \color{blue}{ -2q^3+7q^2 } \, $ and $ \, \color{orangered}{ -q+8 }$.	2
757	Multiply polynomial $ \, \color{blue}{ 3x^2+x-2 } \, $ by $ \, \color{orangered}{ -4x^2-2x-1 }$.	2
758	Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ x+6 }$.	2
759	Multiply polynomial $ \, \color{blue}{ 3c-5 } \, $ by $ \, \color{orangered}{ 3c-5 }$.	2
760	Multiply polynomial $ \, \color{blue}{ -x-3 } \, $ by $ \, \color{orangered}{ 2x^2+5x+8 }$.	2
761	Multiply polynomial $ \, \color{blue}{ -4x^5 } \, $ by $ \, \color{orangered}{ 11x^3+2x^2+9x+1 }$.	2
762	Add $ \, \color{blue}{ 4t+8t+9 } \, $ and $ \, \color{orangered}{ 6t+5 }$.	2
763	Add $ \, \color{blue}{ 12x^5-3x^4+2x-5 } \, $ and $ \, \color{orangered}{ 8x^4-3x^3+4x+1 }$.	2
764	Subtract polynomials: $ \, \color{blue}{ 5x^6-2x^4+9x^3+2x-4 } \, $ , $ \, \color{orangered}{ 7x^5-8x^4+2x-11 }$.	2
765	Multiply polynomial $ \, \color{blue}{ 8b-2 } \, $ by $ \, \color{orangered}{ 3b^2+2b-2 }$.	2
766	Subtract polynomials: $ \, \color{blue}{ 7a^2-a+4 } \, $ , $ \, \color{orangered}{ 3a^2-4a-3 }$.	2
767	Multiply polynomial $ \, \color{blue}{ 2a } \, $ by $ \, \color{orangered}{ 5a^2+8a+8 }$.	2
768	Subtract polynomials: $ \, \color{blue}{ -18p^2+p-32 } \, $ , $ \, \color{orangered}{ 40-13p^2 }$.	2
769	Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2-x+3 }$.	2
770	Add $ \, \color{blue}{ 5x^2+2x-8 } \, $ and $ \, \color{orangered}{ 3x^2-7x-1 }$.	2
771	Subtract polynomials: $ \, \color{blue}{ x-4-8x^2-8 } \, $ , $ \, \color{orangered}{ 2x+5 }$.	2
772	Subtract polynomials: $ \, \color{blue}{ 4x^2+5x } \, $ , $ \, \color{orangered}{ 3x^2-2x-3 }$.	2
773	Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ x-2 }$.	2
774	Add $ \, \color{blue}{ 14x+3x-3 } \, $ and $ \, \color{orangered}{ 8x+5-6x-2x-3 }$.	2
775	Multiply polynomial $ \, \color{blue}{ 2x^2+5x+2 } \, $ by $ \, \color{orangered}{ x^2+2x-3 }$.	2
776	Multiply polynomial $ \, \color{blue}{ 2x+5x+4 } \, $ by $ \, \color{orangered}{ x+1 }$.	2
777	Add $ \, \color{blue}{ 2x+3x-3 } \, $ and $ \, \color{orangered}{ 14x+7x }$.	2
778	Add $ \, \color{blue}{ 2x^2+5x+2 } \, $ and $ \, \color{orangered}{ x^2+2x-3 }$.	2
779	Multiply polynomial $ \, \color{blue}{ 3x^2-2x+3 } \, $ by $ \, \color{orangered}{ 4x^2+5x }$.	2
780	Multiply polynomial $ \, \color{blue}{ 2x-x-6 } \, $ by $ \, \color{orangered}{ 2x-4x+3 }$.	2
781	Add $ \, \color{blue}{ 2x^2-5x-2 } \, $ and $ \, \color{orangered}{ x^2+2x-3 }$.	2
782	Subtract polynomials: $ \, \color{blue}{ x^6+7x^5+2x^4+9x^3+10x^2+12x+15 } \, $ , $ \, \color{orangered}{ x^6+9x^5+8x^4+9x^3+12x^2+15x+20 }$.	2
783	Multiply polynomial $ \, \color{blue}{ x^6+7x^5+2x^4+9x^3+10x^2+12x+15 } \, $ by $ \, \color{orangered}{ x^6+9x^5+8x^4+9x^3+12x^2+15x+20 }$.	2
784	Add $ \, \color{blue}{ 7x-2 } \, $ and $ \, \color{orangered}{ 4x-9 }$.	2
785	Add $ \, \color{blue}{ 10x^2+3x } \, $ and $ \, \color{orangered}{ 6x^2-7x }$.	2
786	Multiply polynomial $ \, \color{blue}{ 3x+6 } \, $ by $ \, \color{orangered}{ -3x+6 }$.	2
787	Add $ \, \color{blue}{ 3x+6 } \, $ and $ \, \color{orangered}{ -3x+6 }$.	2
788	Add $ \, \color{blue}{ 5w+4 } \, $ and $ \, \color{orangered}{ 2w-2 }$.	2
789	Add $ \, \color{blue}{ 2a^2-6a } \, $ and $ \, \color{orangered}{ 8a^2-3a }$.	2
790	Add $ \, \color{blue}{ 5x^3+6x } \, $ and $ \, \color{orangered}{ 7x^3-4x }$.	2
791	Add $ \, \color{blue}{ -x^2-4x } \, $ and $ \, \color{orangered}{ 9x^2-7x }$.	2
792	Add $ \, \color{blue}{ 4a^3 } \, $ and $ \, \color{orangered}{ 5a^3-3a }$.	2
793	Add $ \, \color{blue}{ 14y-2 } \, $ and $ \, \color{orangered}{ 16y-10 }$.	2
794	Add $ \, \color{blue}{ -4x-19 } \, $ and $ \, \color{orangered}{ 13x+7 }$.	2
795	Subtract polynomials: $ \, \color{blue}{ 5y^4+3y^3-6y^2+14 } \, $ , $ \, \color{orangered}{ -y^4+y^2-7y-1 }$.	2
796	Multiply polynomial $ \, \color{blue}{ -x^2-3x+4 } \, $ by $ \, \color{orangered}{ 3x^2+2x-1 }$.	2
797	Add $ \, \color{blue}{ 8x^2+1 } \, $ and $ \, \color{orangered}{ 3x^2-2 }$.	2
798	Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ x-7 }$.	2
799	Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ 3x^3-x^2+x }$.	2
800	Multiply polynomial $ \, \color{blue}{ x^2+x+4 } \, $ by $ \, \color{orangered}{ 2x^2-x+1 }$.	2